What is the surface area of a cone with a radius of 3 cm and a length of 8 cm

Answers

Answer 1

Answer: surface area = 108.8 sq. cm

Step-by-step explanation:

A=πr(r+√h2+r2)

Answer 2

Answer:

108.8cm^2

Step-by-step explanation:

Surface Area

A = πr(r+ √h2+r2)

A= π3 * (3 +1/3)  √64 + 9  (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32

A= 108.7

Volume

V=πr2h/3

V= π9*8 = π72/3 = 226.28/3

V= 72.4cm^3

Additional

The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.

To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.

l2 = h2 + r2

l2 = 64 + 9

l = √(73)

l = 8.54 cm

And the total surface area of the cone is:

SA = πr2 + πrl

SA = π · r · (r + l)

SA = π · 3 · (3 + 8.54)

SA = π x 3 . 11.54

SA = 9.42477796077 x 11.54 = 108.76 cm2

SA = 108.8cm^2


Related Questions

Using the ruler postulate, find the distance between –9 and 2.

Answers

Answer:

11 units

Step-by-step explanation:

According to ruler postulate, if there are two points A with coordinate a

and point B with coordinate b, \

then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.

mathematically it can be represented as

AB = |a-b| or |b-a|

_________________________________________

in the given problem points are -9 and 2

thus distance

distance between –9 and 2  = |-9 -2| = |-11|  = 11

absolute value of -11 is 11

alternatively, distance can be calculated as

distance between –9 and 2  = |2 -(-9) | = |2 + 9 | = |-11|  = 11

Find the exact solution of the equation 7^x=8

Answers

Answer:

exact form:in(8)/in(7) decimal form: x

=

1.06862156

Step-by-step explanation:

30 points !!!please help is this right???

Answers

Answer:

-3k +10

Step-by-step explanation:

-3k - (-8) +2

Subtracting a negative is like adding

-3k +8+2

Combine like terms

-3k +10

Answer:

Its actually not. So first the -3k is already simplified. The --8 becomes +8

its -3k+8+2 =

-3k+10

At least I was first answerer. It really helps to get brainliest, I calculated average so for every 20 questions you get 1 brainliest. I am working my way up to brainliest and questions help. I am also working up to Master Answerer

Answer the questions for 9 points and brainliest
What is the median of the data

Answers

Answer:

40

Step-by-step explanation:

The median is the line in the middle of the box

40 is  the median

please help as quickly as possible

Answers

Answer:

54/125

Step-by-step explanation:

2/375, 2/125, 6/125, 18/125

It is obvious the common ratio = 3

The next term = 3*18/125= 54/125

Answer: 54/125

Step-by-step explanation:

Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?

Answers

Answer: y=1/2x-4

Step-by-step explanation:

Since we are given the slope, we can use the slope-intercept form to find the y-intercept.

y=1/2x+b

-3=1/2(2)+b

-3=1+b

b=-4

Now that we know our y-intercept, we can fill in our slope-intercept equation.

y=1/2x-4

Answer:

a

Step-by-step explanation:

will mark bianleast plz asap
What is the mode of the data set?
Line plot titled Books Read with 0 - 3 dots, 1 - 2 dots, 2 - 7 dots, 3- 6 dots, 4 - 4 dots, 5 - 2 dots, 6 - 1 dot.



Six books

Two books

Four books

Three books

Answers

Answer:

2 books

Step-by-step explanation:

The mode is the one that is most frequent, and reading 2 books during the summer is the most frequent thing to do in this diagram as it has been performed the most times.

Hope this helps!

treviglaslibrary

the mode is the number which appears most frequently so in this case the answer would be the 6 books read over the summer is the mode

What Is the answer to 7+(-4)=

Answers

Answer:

it is 3 bwooo thats the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 + ( - 4) = 3

If sign of two numbers is different, subtract and the result will take the sign of the bigger number.

Here the bigger number is 7 and the sign of 7 is positive. So result is 3

he center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost

Net games 99$ 8$

Equipment cost mouthy fee

anytime games 19$ 19$


1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.


2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.


3. Use your answers from 1 and 2 to justify which service the community center should purchase.

Answers

Answer:

see below

Step-by-step explanation:

From Netgames

175≥ 99 + 8x

Subtract 99 from each side

175-99 ≥ 99-99 + 8x

76≥  8x

Divide each side by 8

76/8 ≥  8x/8

9.5≥  x

He can get up to 9 months along with the equipment

From Anytime

175≥ 19 + 19x

Subtract 19from each side

175-19 ≥ 19-19 + 19x

156≥  19x

Divide each side by 19

156/19 ≥  19x/19

8.210526316≥  x

He can get up to 8 months along with the equipment

Since he can get more months from Netgames, he should rent from netgames

Answer:

The center should rent from Net games

Step-by-step explanation:

1. Net games:

175 ≥ 99 + 8x

175 - 99 ≥ 8x

76 ≥  8x

9.5 ≥  x

It can rent games for 9 and a half months

2. anytime games:

175 ≥ 19 + 19x

156 ≥  19x

8.2 ≥  x

It can rent games for 8 months

3. Since the center can rent games for a longer period of time with Net games (9.5 months compared to anytime's 8 months), it should rent from there.

Hope this helps, and please mark me brainliest if it does!

Can someone help me out?

Answers

Answer:

see explanation

Step-by-step explanation:

15

The x- coordinate of E is the same as the vertex F

The y- coordinate of E is the same as the vertex G

E = (b, c )

The x- coordinate of D is the same as vertex G

The y- coordinate of D is the same as vertex F

D = (a, 0 )

16

The x - axis is an axis of symmetry in the rhombus , thus

D is a reflection of B so D = (0, b )

The y- axis is an axis of symmetry in the rhombus, thus

E is a reflection of C so E = (a, 0 )

Help with homework! Basic area question.

Answers

Answer:

254.502

Step-by-step explanation:

IF THE "SHADED AREA" MEANS THE CIRCLE, THEN THIS IS THE ANSWER! Whenever you need to find the area of a circle, you always have to multiply pi by the second power of your radius. The radius is just have of the diamater of the circle, which--in this case--is 18. So the radius of this circle would be 9 and the problem would be: A = pi x 9 to the second power. Although since your teacher said that pi was not in fact 3.14159 etc, and instead 3.142, you have to multiply 3.142 times the second power of 9, and you get 254.502. Hope this helped!

Answer:

i believe the answer is: 69.498 cm

Step-by-step explanation:

What is the slope of the line that passes through the points ( 4 , − 2 ) (24,−17)? Write your answer in simplest form.

Answers

Answer:

-3/4

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

   = (-17- -2)/(24-4)

   = (-17+2)/ (24-4)

  = -15/20

  = -3/4

Answer:

y=-3/4x+1

Step-by-step explanation:

Help me on this maths please

Answers

Answer: √300.89 or 17.3

Step-by-step explanation:

a^2 + b^2 = c^2

6.7^2 + b^2 = 16^2

b^2 = 16^2 - 6.7^2

= 256 - 44.89

b = √211.11 = 14.5

here to this question we have to use Pythagoras theorem that is

[tex] {a}^{2} + {b}^{2} = {hypotnuse}^{2} [/tex]

here,

a=6.7

b=x (cuz' we don't know it's value)

c= hypotenuse =16

now, substitute these values in the above formula then we get,

[tex] {6.7}^{2} + {x}^{2} = {16}^{2} \\ = 14.529[/tex]

as the answer should be given to 1 decimal place we get 14.529

Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular? *

A. 7th
B. 8th
C. Baseball
D. Soccer

Answers

Answer:

Baseball

Step-by-step explanation:

You look at the table and find that 38/50 students play baseball, while the other 12 play soccer.

For both 7th and 8th grade, baseball is the most popular sport. Baseball has 11 votes for 7th grade and 27 votes for 8th grade.

what is the value of x ?

Answers

Answer:

Should be 33 degrees if it is congruen.

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

124 + 33 = 157

180 - 157 = 23

2. A city council had a proposal for a new traffic light at an intersection that had a recent
accident. The council decided to take a poll of 284 randomly selected residents and asked if
they would support the construction. Of those polled, 219 stated that they would support the
new traffic light and 45 said they would not. Identify the problem with the study.

Answers

Answer:

A non-response occurred.

Step-by-step explanation:

The study is wrong because the number of people who participated in the pole is not equal to the  number of people who support the pole and the number of people who does not support the pole.

What is Survey?

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

Given that the council decided to take a poll of 284 randomly selected residents.

Also, it is given that the 219 stated that they would support the new traffic light and 45 said they would not.

Now, for the pole to be true the number of people who support the pole and the number of people who does not support the pole should be equal to the number of people who participated in the pole.

Further, the total number of people who support the pole and the number of people who does not support the pole is,

Total number of people = 219 + 45 = 264

Since the number of people who participated in the pole is not equal to the  number of people who support the pole and the number of people who does not support the pole. Therefore, the study is Wrong.

Learn more about Survey here:

https://brainly.com/question/17373064

#SPJ2

Solve for x.
-3+85-5=-8
A. -2.
B.-1
C.-3/4
D.0​

Answers

Answer:

-2

Step-by-step explanation:

-3+8x-5=-8

8x = -16

x = -2

Answer:

Undefined

Step-by-step explanation:

-3+8x-5=-8

+8 on both sides

8x = 0

Since you cant divide a number by 0, the answer is undefined

What is the degree measure of arc HG?

Answers

Answer:

arc HG = 40°

Step-by-step explanation:

The inscribed angle HFG is one half the measure of its intercepted arc, that is

3x + 2 = [tex]\frac{1}{2}[/tex] (5x + 10) ( multiply both sides by 2 )

6x + 4 = 5x + 10 ( subtract 5x from both sides )

x + 4 = 10 ( subtract 4 from both sides )

x = 6

Thus

arc HG = 5x + 10 = 5(6) + 10 = 30 + 10 = 40°

Question 4
4.53
60
500
729
8000

Answers

4 * 5^3= 500
5^3 = 125
125 * 4 = 500
The correct answer is 500

How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?

Answers

Answer: approximately 10.4 feet

Step-by-step explanation:

Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segment?

Answers

Answer:

The answer is C on Edge or "The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."

Step-by-step explanation:

Which input was substituted into the function f(x) = x to
create the given graph?
Of(x + 2.5)
Of(x - 2.5)

Answers

Answer: f(x-2.5)

Step-by-step explanation:

HELP!
Find the exact area and circumference of a circle whose diameter is 8 meters.
Show your work!!

Answers

Answers:

Area: 50.24m^2

Circumference: 25.12 m

please see the attached picture for full solution

hope it helps

good luck on your assignment

William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?

1.25p−0.9≤7.5

1.25p+0.9≤7.5

1.25p+0.9≥7.5

1.25+0.9p≤7.5

Answers

Answer:

the answer is B

Step-by-step explanation:

the reason is because 1.25 x the amount of pretzels he wants plus his price of his one drink will be less than or equal to the amount of money he has

Answer:

B

Step-by-step explanation:

Cost of p pretzels = 1.25 * p = $ 1.25p

cost of p pretzels and cost of a soft drink  should be less than or equal to $7.50

1.25p + 0.90 ≤ 7.50

Triangle ABC, with the vertices at A(0,0) B(3,5) and C(0,5) is graphed on the set of axes shown below. Name the solid that is formed when triangle ABC is rotated continuously about side AC and state the radius of the solid

Answers

Answer:

Solid formed will be a CONE

Radius of the cone = 3 units

Step-by-step explanation:

Given points of a triangle are A(0, 0), B(3, 5) and C(0, 5).

Given triangle is a right triangle.

When the given triangle ABC is rotated about a line AC, a 3D image of a solid will be created in the form of a CONE.

This cone will have the radius = BC

Length of side BC = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

                              = [tex]\sqrt{(3-0)^2+(5-5)^2}[/tex]

                              = 3

Therefore, radius of the cone = 3 units

Fill in the table below by naming each prism and identifying the number of faces, vertices, and edges for each one of them.

Answers

Answer:

Step-by-step explanation:

A prism is a solid figure and geometric in nature having the shape of its ends parallel to each other and its sides are parallelograms. Each prism are classifies based on the shape of its ends that are parallel to each other.

The name of the prism given in question according to their arrangement from left  to right are triangular prism, trapezoidal prism, pentagonal prism and hexagonal prism.

Triangular prism is made up of 5 faces, 6 vertices  and 9 edges

The trapezoidal prism is made up of 6 faces, 8 vertices  and 12 edges

The pentagonal prism is made up of 7 faces, 10 vertices  and 15 edges

The hexagonal prism is made up of 8 faces, 12 vertices  and 18 edges

if you answer this simple question you will get 15 point. but explain and give reason fast

Answers

x is 45 degrees it’s just flipped

Answer:

x = 45 degree as it is an alternate angle we use 135 degree to prove supplementary angles across the straight line add up to 180 degree.

Therefore we prove 180-135 = 45 degree and say all angles on straight line add up to 180 degree, and recognize x is an alternate angle as the arrow straight lines are parallel and create precise alternate lines from which we can prove multiple supplementary and alternate angles.

Supplementary can be either angle will always be supplementary from either 45 degree angle matched with any 135 degree as they don't have to be together to be supplementary they only have to equal 180 degree to be a supplementary angle.

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

$2.10

Step-by-step explanation:

5 beads + 5 pendants cost $19.50

beads cost $1.80 per necklace

5 beads cost 5 * $1.80 = $9.00

cost of 5 pendants = $19.50 - $9.00 = $10.50

cost of 1 pendant = $10.50/5 = $2.10

Answer:

$2.10

Step-by-step explanation:

For each necklace, the price of the beads totaled up to $1.80. Since there were 5 necklaces, the total price for all of the beads is $9.

5 × 1.80 = 9

The total cost of all materials is $19.50.  Since we are trying to find the cost of the pendants, subtract the cost of the beads by the total price.

19.50 - 9 = 10.50

Since you are trying to find the cost of each pendant, divide the costs of all the pendants by 5.  You are dividing by five because there is one pendant for on necklace.

10.5/5 = 2.10

The cost of a single pendant is $2.10.

Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This situation can be modeled in terms of the unknown forces with the matrix equation below Solve this equation for F and round answers to three decimal points​

Answers

Answer:

f1: 0.440, f2: 0.931, f3: 1.519

Step-by-step explanation:

To solve the system of equations we need to use the inverse of matrix A, as follows:

A x F = C

A^-1 x A x F = A^-1 x C

I x F = A^-1 x C

where I is the identity matrix.

The inverse of A is:

          1.450 -0.392 -0.090

A^-1 = -0.074 -0.022 0.1536

         -0.406 0.7122 -0.060

(computed with Excel)

The multiplication between the inverse of A and C gives:

                0.440

A^-1 x C = 0.931

                1.519

(computed with Excel)

Answer:

1f = .441

f2 = .931

f3 = 1.520

Step-by-step explanation:

did it on edge 2020

Estimate 3 3/8 X 10 13/15

Answers

Answer:

36.70

Hope this helps!

Answer:

The estimation of this equation is the number 33

Step-by-step explanation:

First Estimate is defined as to roughly calculate or judge the value of a number or a quantity. In this case we are roughly calculating a number or otherwise known as a fraction. So 3 3/8 would be Rounded to the whole number 3 , due to the fact that the 3/8 is less then the 4/8 , and the 10 13/15 would be estimated to 11 , due to the fact that is more than the 7.5/ 15 . So, 3 times 11 would be the estimate of 33.

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