Find the volume of the composite solid. Round your answer to the nearest tenth

Find The Volume Of The Composite Solid. Round Your Answer To The Nearest Tenth

Answers

Answer 1

Answer:

V = 1206.3 [tex]ft^{3}[/tex]

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = [tex]\pi[/tex][tex]r^{2}[/tex] x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = [tex]\pi[/tex] x [tex]8^{2}[/tex] x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = [tex]\frac{\pi r^{2}h }{3}[/tex]. This is the area of the circular part of the cone ([tex]\pi r^{2}[/tex]), multiplied by the height from the point to the base, all divided by 3.

Substitute in the values for the radius of the circle (8) and the height (6)

V(cone) = [tex]\frac{\pi 8^{2} 6 }{3}[/tex] (On the top it's [tex]\pi[/tex] x [tex]8^{2}[/tex] x 6)

Evaluate using a calculator

V(cone) = 402.1239

To the nearest tenth, V(cone) = 402.1

Total volume = V(cylinder) + V(cone)

= 804.2 + 402.1

= 1206.3 [tex]ft^{3}[/tex]


Related Questions

What is the area of this triangle?

Answers

Answer:

8 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (7-3) * (4-0)

   = 1/2 4*4

   = 8

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Answers

Answer:

12(3+5)

Step-by-step explanation:

The greatest common factor is 12

12*3 + 12*5

12(3+5)

Answer:

12(3+5)

Step-by-step explanation:

First, let’s list all the factors of the two numbers. Factors are numbers that evenly divide into a number.

The two numbers are 36 and 60.

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The GCF is the greatest common factor. The biggest factor both numbers share is 12.

Now let’s find the expression.

36+60

We know the GCF is 12. Therefore, we can distribute out a 12. Take out a 12, and then divide both numbers by 12.

12( 36/12 + 60/12)

12(3+5)

Find the surface area of the cylinder. Round your answer to the nearest tenth. Radius-8ft hieght-9ft
thanks!

Answers

The answer is 854.5 ft

I havent done surface area in a while so it might be slightly off

Given the piecewise function shown, find the value of h(–6). A) 1 B) 26 C) -23 D) -6

Answers

Answer:

-22

Step-by-step explanation:

Which part of the function is valid when x = -6

The first part

h(-6) = 4x+2 and let x = -6

        =4(-6) +2

        = -24 +2

         =-22

Answer:

-22

Step-by-step explanation:

Simplify.
Rewrite the expression in the form y^n

Y^9•y^2

Answers

Answer:

Step-by-step explanation:

When you multiply two terms with same base, add the exponents.

Example:  x*x² = x* x*x = x³

In short, x*x² = x¹⁺² = x³

[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]

Simply such an app I can put in app and I wanna is the best way app is to buy the best of it i will you have a good man is the day I can put i it in the same world I can put it

type 2 ways they are the same.

Answers

Answer:

if you divide the first 2 in half you get the one in the bottom, if you unite each 2 in bottom you get the ones in top, its all i could think of, sorry

Step-by-step explanation:

The sum of 2 times a number and 7 is equal to 6

Answers

Answer:

2x+7 = 6

x = -1/2

Step-by-step explanation:

Answer:

2x+7=6

Step-by-step explanation:

I need help quick lot of points easy question marked brainliest the best.
How do you find out a histograms least frequency interval

Answers

Answer:

Histograms are graphs of a distribution of data designed to show centering, dispersion (spread), and shape (relative frequency) of the data. Histograms can provide a visual display of large amounts of data that are difficult to understand in a tabular, or spreadsheet form.

They are used to understand how the output of a process relates to customer expectations (targets and specifications), and help answer the question: "Is the process capable of meeting customer requirements?"

To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval. The bins are usually specified as consecutive, non-overlapping intervals of a variable.

Hope this Helps, good luck on our assignment!

Answer:

Hey! I think this video will help you!

Step-by-step explanation:

It won't let me send the video for some reason so I'll try and spell it out. Hint: there are no actual spaces so look this up without the spaces.

h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ? v = v h c i k R s r d J o

In the number
23.45, the digit
2 is in the Select...
place.

Answers

Answer:

tens place

Step-by-step explanation:

tens  ones . tenths hundredths

2        3     .     4       5

Number 2 is in the tens place.

Find the distance between k and l

Answers

shift 5 to the right
You have to shift 5 to the right

What is the inverse of the function f(x) = 4x - 12

Answers

Answer:

y=x+12/4

Step-by-step explanation:

y=4x-12

x=4y-12 (then make y the subject)

x+12=4y(divide both sides by 4)

y=x+12/4

Y=x+12/4.
There you go bud

Which expression represents 10 in rational exponent form?
A. 10
B. (3)
C. 101/2
D. 102/1
E. 102

Answers

Answer:

its b i checked it

Step-by-step explanation:

The equivalent rational exponent form of the expression [tex]\sqrt{10}[/tex] is [tex]10^{\frac{1}{2}[/tex].

What are surds and indices?

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

We know the square root of a number indicated the number has been raised by half.

Given, An expression [tex]\sqrt{10}[/tex].

So, The rational form of the expression [tex]\sqrt{10}[/tex] should be [tex]10^{\frac{1}{2}[/tex].

learn more about radical expressions here :

https://brainly.com/question/1369233

#SPJ5

A fruit vendor purchased 540 fruits in all for $150. He sold 15 dozens at 2 bananas a dollar, another 15 dozens at 3 bananas a
dollar and the remaining at 5 bananas a dollar. Find his loss or gain percentage. ( with explanation )

Answers

Answer:

First find how much bananas are in a dozen

15 x 12 = 180

Divide the amount by the amount of bananas per dollar to find profit

180 / 2 = $90

Do the same thing as before

15 x 12 = 180

180 / 3 = $60

Find how many bananas are left

180 + 180 = 360

540 - 360 = 180

Do the same as before

180 / 5 = $36

Add up all the money. 90 + 60 + 36 = 186

Subtract the cost

185 - 150 = 36

To find percentage increase

36 / 150 = 0.24 or 24% profit

Hope this helps

Step-by-step explanation:

Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric

2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b


P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY

Answers

Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

It is provided that:

Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]

Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].

Answer:

Answer is C

Step-by-step explanation:

The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)

please help
From an upstairs window, I can see my neighbor's fence. The angle of depression is 7 degrees. If my window is 15 ft off the ground, how far is my neighbor's fence from my house? Round to the nearest whole number, do not include units.

Answers

Answer:

122

Step-by-step explanation:

Let x ft. be the distance from neighbour's fence to the house.

Please see attached picture for full solution.

Thus, distance from neighbour's fence to the house is 122 ft. (nearest whole number)

on a piece of paper, graph y=3/4x-3. use the gtaph to find the x intercept of the line

Answers

Answer:

the intercept is 3/4

Step-by-step explanation:

it's the number in front of the x lol

Solve by substitution
X^2= 2y + 10
3x-y = 9

Answers

Answer:

[tex]x=-4\\ x=-2\\ y=-21\\ y=-15[/tex]

Step-by-step explanation:

[tex]x^{2} =2y+10[/tex]

[tex]y=-9+3x[/tex]

[tex]x^{2} =2(-9+3x)+10[/tex]

[tex]x^{2} =-18+6x+10[/tex]

[tex]x^{2} =6x-8[/tex]

[tex]x^{2} -6x+8[/tex]

[tex]x=-4, -2[/tex]

[tex]y=-9+3(-4)[/tex]

[tex]y=-9-12[/tex]

[tex]y=-21[/tex]

[tex]y=-9+3(-2)[/tex]

[tex]y=-9-6[/tex]

[tex]y=-15[/tex]

Answer:

(4,3) (2,−3)

Step-by-step explanation:

x^2 =2(−9+3x)+10

2(−9+3x)+10

x2 = −18+6x+10

x2=6x−8

x2−6x+8=0

We now have to find integers that find product is 8 and whose sum is −6

= -4 -2 we find this is set to 4 2 as x−4=0

Add 4 to both sides of the equation. x=4

Set the next factor equal to 0

x−2=0 Add 2 to both sides of the equation.x=2

Confirms and proves x = 4,  x = 2

We solve for y

2y+10=(4)2

2y+10=16

2y=16−10

2y = 6

y = 3

We rewrite and solve for y again

(2)^2=2y+10

2y+10=(2)*2

2y+10=4  

2y = 4(-10)

2y = -6

y= -3

Solve.

-6x - 4y = -32
-2x + 7y = 6

A. (5, 3)

B. (5, 2)

C. (4, 3)

D. (4, 2)

Answers

Answer:

D

Step-by-step explanation:

-6x=4y-32

x=(2(2y-16))/-6

x=(2y-16)/-3

x=(-2/3)*y+16/3

solve for y:

-2((-2/3)*y+16/3)+7y=6

(4/3)y+21/3y+(-32/3)=18/3

(25/3)y=(18+32)/3

(25/3)y=50/3

25y=50

y = 2

solve for x:

-6x - 4y = -32

-6x - 8 = -32

-6x = -24

x = 4

answer: (4, 2)

I need help cause I don’t understand the concept

Answers

Answer:

make a graph based on the equation

Step-by-step explanation:

then match the graph you made to the answer choices

Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?

Answers

Answer:

3n+6

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self

Answers

Answer:

idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl  can see here on brainly

I will give the brainliest answer

Answers

Answer:

96 cm²

Step-by-step explanation:

area of single square:16cm²

no. of square in cube:16*6: 96cm²

Answer:

[tex]96 \: \: {units}^{2} [/tex]

Step-by-step explanation:

[tex]A

=

6

{a}^{2}

\\

=

6

·

{4}^{2}

\\

=

96 \: \: {units}^{2}

[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 8
A. log(3)
B. log 4
Chloe. log(2) + log(3)
D. log 2
SUBMIT

Answers

Answer:

none is equivalent. all are wrong

PLEASE HELP!! 25 POINTS

Answers

Answer:

1. f(x) and g(x)

2. g(x)

3. All

4. F(x) and H(x)

Step-by-step explanation:

graph them

Please answer fast, dhehdhhd

Answers

I believe the answer is 142 degrees.

38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.

Number 7 and 5 are corresponding, so they are equal.

This means that 5 is 142 degrees.

(I think)

the answer is 142 because 180 degrees is a straight line so you would do 180-38=142

Please help ASAP Very easy !!!!

Answers

Answer:

C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]

Step-by-step explanation:

This is the expression that is shown in the graph:

[tex]\frac{3}{4} / \frac{1}{8}[/tex]

We need to calculate the answer, so...

An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:

[tex]\frac{3}{4} *\frac{8}{1}[/tex]

8 divided by 1 is just 8 so you can simplify it:

[tex]\frac{3}{4}*8[/tex]

[tex]=\frac{8*3}{4}[/tex]

[tex]=\frac{24}{4}[/tex]

[tex]=6[/tex]

The exponent on a when a^2 is multiplied by a5 is
A. 3
B. 7
C. 10

Answers

Answer:

B

Step-by-step explanation:

[tex]a^2\cdot a^5= \\\\a^{2+5}= \\\\a^7[/tex]

Therefore, the correct answer is 7. Hope this helps!

Answer:

7

Step-by-step explanation: When multiplying  a number where both has exponent you add the exponent.  a^5 * a^2 is the same thing as a^5+2 which is a^7.

Help. I’m thinking this is either b,c,d not sure which one though

Answers

Answer:

D

Step-by-step explanation:

A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:

5y = 4x + 5

5y - 4x = 5.

Answer:

It's C I THINK but it might be D.

Step-by-step explanation:

does anyone understand and can help me asap?

Answers

Answer:

see below

Step-by-step explanation:

Circumference of circle = 2πr =dπ

Area of circle =πr²

1) Circle1 d =4 in, r =2 in

Circumference of circle1 =4π in

Area of circle1 = 2²π =4π in²

2) Circle2: d =3 in, r =1.5 in

Circumference of circle2 =3π in

Area of circle2 = 1.5²π =2.25π in²

3)  Circle3:  r =1 in, d =2 in

Circumference of circle3 =2π in

Area of circle3 = 1²π =π in²

4) Circle4:  r =2 1/2 in = 2.5 in, d =5 in

Circumference of circle4 =5π in

Area of circle4 = 2.5²π = 6.25π in²

5) 2/3 of the Area of circle1 = (2/3)*4π in²= (8/3)π in²

6) 1/2  of the Area of circle2 = (1/2)*2.25π in² = (1/2)*(9/4)π in² = (9/8)π in²

7) 1/4  of the Area of circle3 = (1/4)π in²

8) 1/3  of the Area of circle4 = (1/3)* 6.25π in² =(1/3)*(25/4)π in² = (25/12)π in²

Please help marking brainliest QUICK

Answers

Answer:

50 lbs.

Step-by-step explanation:

Answer:

45.65

Step-by-step explanation:

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