A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume
Question :-
A Cylinder has a Radius of 3 Ft and a Height of 5 Ft . Find the Volume .Answer :-
Volume of Cylinder is 141.42 Ft³ .Explanation :-
As per the provided information in the given question, we have been given that the Radius of the Cylinder is 3 Ft . The Height is given as 5 Ft . And, we have been asked to calculate the Volume of Cylinder .
For calculating the Volume , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi {r}^{2}h \: }} [/tex]
Where ,
R denotes to RadiusH denotes to HeightTherefore , by Substituting the given values in the above Formula :-
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \pi {r}^{2}h } [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: ({3})^{2} \: \times \: 5 } \\ [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22}{7} \: \times \: 9 \: \times \: 5 } \\ [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac {22\: \times \: 9 \: \times \: 5 }{7}} \\ [/tex]
[tex] \Longrightarrow \: \: \: \sf { Volume \: _{Cylinder} \: = \: \dfrac { \: 990 \: }{7}} \\ [/tex]
[tex] \Longrightarrow \: \: \: \bf { Volume \: _{Cylinder} \: = \: 141.42 } [/tex]
Hence :-
Volume of Cylinder = 141.42 Ft³ .[tex] \underline {\rule {180pt}{4pt}} [/tex]
Answer:
Volume of cylinder is 141.3 ft³ ( Taking value of π as 3.14 )
Step-by-step explanation:
Question : -A cylinder has a radius of 3 ft and a height of 5 ft. Find the volume .
Given : - Radius of cylinder = 3 ftHeight of cylinder = 5 ft To Find : -We have to , volume of Cylinder .
Formula Used : -[tex] \boxed{ \sf{Volume \: of \: Cylinder = \pi r {}^{2} h }}[/tex]
Where ,
π = 3.14r = radius of cylinderh = height of cylinder Solution : -[tex] \longrightarrow \: \pi r {}^{2} h[/tex]
Now , substituting values of radius and height :
[tex]\longrightarrow \: 3.14 \times (3) {}^{2} \times 5[/tex]
Now , calculating :
[tex] \longrightarrow 3.14 \times 9 \times5 [/tex]
Firstly , multiplying 9 and 5 :
[tex]\longrightarrow \: 3.14 \times 45[/tex]
Atlast , multiplying 3.14 and 45 :
[tex] \longrightarrow \: \bold{ 141.3}[/tex]
[tex] \red{ \boxed{ \rm{Therefore , \: volume \: of \: cylinder \: is \: 141.3 \: ft {}^{3} }}}[/tex]
#Keep LearningPlease help. ASAP. This is so confusing.
1. right triangle?
-> c²= g²+b²
c²= 20²+21²
c²= 841
c=V841
c=29
-> triangle BCG is right
2.
cos B= 20/29
tan B= 21/20
sin B= 21/29
sin G= 20/29
cos G= 21/29
tan G= 20/21
Write a formula for function h in terms of function f.
h(x)=
Answer:
h(x) = f(x + 12) - 4Step-by-step explanation:
According to the graph, the function h(x) is the translation of the function f(x) to the right and down.
Compare the coordinates of the vertices to write the formula
(- 6, 11) → (6, 7)x = 6 - (-6) = 12y = 7 - 11 = - 4The formula is
h(x) = f(x + 12) - 4Answer:
h(x) = f(x - 12) - 4
Step-by-step explanation:
The vertex is the turning point (stationary point or minima/maxima) of the graph.
To find the series of translations that transform the graph of y = f(x) onto y = h(x), compare the vertices of both graphs.
Vertices of given functions:
Vertex of f(x) = (-6, 11)Vertex of h(x) = (6, 7)Differences
x-values: 6 - (-6) = 12y-values: 7 - 11 = -4Therefore, y = f(x) has been:
translated 12 units righttranslated 4 units downTranslations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Therefore:
f(x) translated 12 units right = f(x - 12)f(x - 12) translated 4 units down = f(x - 12) - 4So the formula for h(x) in terms of f(x) is:
h(x) = f(x - 12) - 4
Learn more about transformations here:
brainly.com/question/27845947
9. A bacteria population, , can be represented by the equation p= 100,000 times(1/4)^d,
where d is the number of days since it was measured.
a. What was the population 3 days before it was measured? Explain how you
know.
b. What is the last day when the population was more than 1,000,000? Explain how
you know.
#1
3days back means 3Put it
[tex]\\ \rm\Rrightarrow p=100000(0.25)^{3}[/tex]
[tex]\\ \rm\Rrightarrow p=100000(0.015625)[/tex]
[tex]\\ \rm\Rrightarrow p=1562.5[/tex]
Now
#2
Let's see
[tex]\\ \rm\Rrightarrow 100000(0.25)^d=1000000[/tex]
[tex]\\ \rm\Rrightarrow 0.25^d=10[/tex]
[tex]\\ \rm\Rrightarrow ln0.25^d=ln10[/tex]
[tex]\\ \rm\Rrightarrow dln0.25=2.3[/tex]
[tex]\\ \rm\Rrightarrow d(-1.39)=2.3[/tex]
[tex]\\ \rm\Rrightarrow d=-1.654[/tex]
find the circumference
Answer:
18πm
Step-by-step explanation:
The area is πr^, so to find just the radius, take the square root of 81.
This means the radius is 9, and because the formula for the circumference is 2πr, simply double it and multiply by π to get 18π.
If you found this helpful, I would appreciate if you gave me the brainliest award :D
Write the statements of the following algebraic expressions!
A- a+1
B- q-9
C- 3y+7
D- x/3+9
E- 3x+10
Answer:
See below ↓↓↓↓↓
Step-by-step explanation:
A - the sum of a number 'a' and 1B - the difference between a number 'q' and 9C - 7 plus the product of a number 'y' and 3D - 9 plus the quotient of a number 'x' and 3E - 10 plus the product of a number 'x' and 3= 1 more than a number (a)
B- q-9= q less than 9
C- 3y+7= 3 times y added to 7
D- x/3+9= a number (x) divided by 3 more than 9
E- 3x+10= 3 times x added to 10
In order to be successful in taking math exams, what are some important test taking strategies?
Answer:
Hope this helps =)
Step-by-step explanation:
Read the questions carefullyBookmark questions you don't know or are unsure aboutStudy before the day of the testGet enough sleep the day before the testEat a good breakfast the day of the testRecheck problemsWork it outFind the volume of the rectangular prism. Enter your answer in the box
u will get 50 points don't answer if you don't know
Answer:
151.7 cm^3
Step-by-step explanation:
3.7 x 10 x 4.1 = 151.7
BRAINLIEST? TY!!
Answer:
151.7 cm^3
Step-by-step explanation:
If you didn't know already the volume of a rectangular prism is
length x witdh x height.
Multiply 10x4.1 and you will get 41
Then multiply 41 by 3.7 to get 151.7.
A triangle has sides with lengths of 9 miles, 12 miles, and 15 miles. Is it a right triangle?
Answer:
The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.
Step-by-step explanation:
15² = 9² + 12²
225 = 81 + 144
225 = 225
so it is an right angled triangle....
( using : if the sum of the squares of the smaller two sides is equal to the square of the largest side, then the traingle is a right triangle.)
( Find the Mean Absolute Deviation and the Mean )
How many siblings do the students in my math class have?
3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3
Answer:
Mean Absolute Deviation (MAD): 1.3125
Mean: 2.5625
Step-by-step explanation:
.
Which inequality does the graph represent (pls I’m HORRIBLE at number lines so please answer both if possible, Ty)
Answer:
For #11 it is X≥-2. For #12 it is X<-1 I think
Step-by-step explanation:
I hope this helps you and please mark me as brainliest
The rule for the nth term of a sequence is 5n + 16
Find the 10th term of the sequence.
Answer:
66
Step-by-step explanation:
It's given that
Tn = 5n + 16
The 10th term is
T10 = 5(10) + 16
= 66
The 10th term of the sequence is 66.
What is Sequence?In mathematics, a sequence is a list of numbers arranged in a specific order. Each number in the sequence is called a term. Sequences can be finite, meaning they have a specific number of terms, or they can be infinite, continuing indefinitely.
We have the rule: 5n + 16
Now, To find the 10th term of the sequence, we can substitute n = 10 into the given rule:
5n + 16 = 5(10) + 16 = 50 + 16 = 66
Therefore, the 10th term of the sequence is 66.
Learn more about Sequence here:
https://brainly.com/question/28889988
#SPJ2
5% of a number is 80, what is 25% of the same number? A. 4 B. 40 C. 400 D. 440
Answer: 400
Step-by-step explanation:
If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.
Find the lateral surface area of this rectangular prism in centimeters. refer to your staar 8th grade math reference sheet for the appropriate formula. question 2 options: 28 cm2 36 cm2 42 cm2 48 cm2
The lateral surface area of a rectangular prism has length, breadth, and height is 3cm, 3cm, and 2cm is 36cm sq.
What is the lateral surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The lateral surface area of this rectangular prism = 2( l + b) h
It is given that length, breadth and height are 3cm, 3cm and 2cm.
The lateral surface area of this rectangular prism = 2( l + b) h
= 2 (3+3) 2
= 4 × 9
= 36cm sq.
Hence, the lateral surface area of this rectangular prism is 36cm sq.
Learn more about prism;
brainly.com/question/1601740
Answer:
39 ig
Step-by-step explanation:
This is just a question to answer to boost your points. (students who need points to find answers only!)
What is the correct answer to 5x5/2?
Answer:
it would be 12.5
Step-by-step explanation:
brainly deleted my answer from before
Work out
92.6
% of
103.93
km
Give your answer rounded to 2 DP. HURRY
92.6% of 103.93km
solution:Our output value is 103.93.
let's represent the unknown as x.
103.93=100%
Similarly, x=92.6%
103.93= 100% (1)
x= 92.6% (2)
By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:
103.93/x = 100%/ 92.6%
the reciprocal of both sides gives:
x/ 103.92 = 92.6/100
= 96.23918
2 dp= 96.24
so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.
Answer:
96.24 km
Step-by-step explanation:
To Find :
92.6% of 103.93 kmSolving :
% to decimal = ÷ by 10092.6% = 0.926⇒ -.926 x 103.93⇒ 96.23918⇒ 96.24 km (In 2 decimal places)Quadrilateral ABCD is reflected over the x-axis to create A′B′C′D′. What are the coordinates of A'?
Question 8 options:
(2, 4)
(-2, 4)
(4, 5)
(6, 12)
Answer: (2, 4)
Step-by-step explanation: If it is reflected over the x-axis then the coordinates of A is (2, 4)
3. Solve the inequality and graph the solutions.
-5x < 15
Answer:
[tex]\boxed{{x} > -3}[/tex]
Step-by-step explanation:
Given inequality:
[tex]-5x < 15[/tex]To solve this inequality, we need to isolate the variable on one side and the constant on the other. To do this, we can divide both sides by -5.
[tex]\rightarrowtail -5x < 15[/tex]
[tex]\rightarrowtail \dfrac{-5x}{-5} < \dfrac{15}{-5}[/tex]
[tex]\rightarrowtail x < \dfrac{15}{-5}[/tex]
Note: If we are dividing both sides by a negative integer, the sign changes.
[tex]\rightarrowtail {x} > \dfrac{15}{-5}[/tex]
To simplify 15/-5, we can multiply -1 to the numerators and the denominators. As a result, the negative sign should transfer to the numerator, as when two negative integers multiply each other, the result is a positive integer.
[tex]\rightarrowtail {x} > \dfrac{15}{-5} \times \dfrac{-1}{-1}[/tex]
[tex]\rightarrowtail {x} > \dfrac{-15}{5}[/tex]
[tex]\rightarrowtail \boxed{{x} > -3}[/tex]
Graph:[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-5x < 15}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\\\mathsf{\dfrac{-5x}{-5} < \dfrac{15}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x > -3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x > -3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
NEED HELP ASAP!! 5TH GRADE MATH, WILL GIVE BRAINLIEST!!!
Answer:
14,880: So yes, it will be greater than 12400.
Step-by-step explanation:
Because you can simplify the fraction from 1 1/5 to 6/5, and 6/5 is equal to 1.2, simply multiply 12400 by 1.2, which would get you 14800. In other words, if it was multiplying by a number less than 1.2, then it would be less than 12400.
Hope this helps!
Please Help Me!!
The price of a loaf of a particular type of bread increased from $3.70 to $5.59 from 2011 to 2021. What was the percent increase in the price of the loaf of bread over those 10 years? Round your answer to the nearest tenth of a percent.
The price of the loaf of bread over the 10 years was_____%(round to the nearest tenth of a percent.)
Answer:
51.1% to the nearest tenth.
Step-by-step explanation:
Increase = 5.59 - 3.70 = $1.89.
% increase = (1.89/3.70) + 100
= 51.08%
For the curve y=x^4+1, find the gradient of the secant between the point (1, 2) and
the point where x=1.01.
Answer:
4.06.
Step-by-step explanation:
Where x = 1.01, y = (1.01)^4 + 1 = 1.0406 + 1
= 2.0406
So the gradient between (1, 2) and (1.01, 2.0406)
= (2.0406 - 1)/(1.01 - 1)
= 4.06.
Find the slope of the line that passes through the following points. Write "undefined" if there is no slope. (-8, -3) (-8, -2) Write your answer as a fraction if needed.
Answer:
undefined
Step-by-step explanation:
Given points: (-8, -3) and (-8, -2)
As the x-value of both points is the same, there is no slope.
Therefore, the line that passes through the two given points is a vertical line at [tex]x=-8[/tex]
Proof[tex]\textsf{let}\:(x_1,y_1)=(-8,-3)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-8,-2)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-3)}{-8-(-8)}=\dfrac{1}{0}[/tex]
Any number divided by zero is undefined.
Can, you help me thanks. <3
Answer:
I think the 1st one is the answer
Step-by-step explanation:
if it helpful to you give me a brainliest
find 60% of 40 gallons.
Hey there!
60% of 40
= 60% * 40
= 60/100 * 40
= 60 ÷ 20 / 100 ÷ 20 * 40
= 3/5 * 40
= 3/5 * 40/1
= 3(40) / 5(1)
= 120 / 5
= 120 ÷ 5 / 5 ÷ 5
= 24/1
= 24 ÷ 1
= 24
Therefore, your answer is: 24
Good luck on assignment & your day day!
~Amphitrite1040:)
what is the discount on a pair of shoes with a regular price of $48?
Help me quickly!!
Brainliest + 50 points
No spammers allowed
Thanks in advance
:) :)
Answer:
x = 5
Step-by-step explanation:
Given coordinates: (3, 4) (x, 6)
Slope: 1
Use the slope formula to find the value of x:
Slope = y2 - y1 / x2 - x1
Substitute the given information into the formula:
1 = [tex]\frac{6-4}{x-3}[/tex]
1 = [tex]\frac{2}{x-3}[/tex]
Multiply both sides of the equation by the common denominator:
[tex]\frac{2(x-3)}{x-3} = x-3[/tex]
Reduce the fraction:
2 = x - 3
Rearrange variables to the left side of the equation:
-x = -3 - 2
Calculate:
-x = -5
Divide both sides with the coefficient of the variable:
x = 5
hope this helps!! p.s. i really need brainliest :)
Answer:
x = 5
Step-by-step explanation:
Slope formula
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]
[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]
[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]
As the slope equals 1:
[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]
Therefore, x = 5
Write a real world problem that can be presented by the equation y + 20 = 85
3+x=7 help please I’m so confused
Step-by-step explanation:
#CARRY LEARNPA BRAINLIEST PO!Answer:
[tex]\huge\boxed{\bf\:x = 4}[/tex]
Step-by-step explanation:
[tex]3 + x = 7[/tex]
Bring 3 to the right hand side of the equation and isolate the variable.
[tex]3 + x = 7\\x = 7 - 3\\\boxed{\bf\:x = 4}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds to cover an additional 2,640 square feet. How many pounds of insecticide would Mr. Malone need to cover his whole lawn of 4,480 square feet
Answer:
101.8 lb
Step-by-step explanation:
1760 sq ft are covered by 40 lb
4480 sq ft are covered by x
1760/40 = 4480/x
1760x = 40 × 4480
x = 179,200/1760
x = 101.818181...
Answer: 101.8 lb
Hi please help me out I’m really struggling with geometry rn and I can’t afford to buy the tutor thing
Alright let's solve this problem step by step:
Question 1: Find the perimeterDefinition of Perimeter: basically all the side lengths added upThe figure is made up triangles
⇒ however, we do not know the slanted line that goes from the tip to
the edge of the base.
⇒ we can use the Pythagorean Theorem to help us
[tex]2^2 + (5.7)^2 = slanted-line^2\\slanted-line = 6.04[/tex]
Perimeter = 6.04 + 6.04 + 6.04 + 6.04 + 6.04 + 4 + 4 + 4 + 4 + 4
= 50.2 inches
Question 2: Find the slant heightDefinition of Slant height: is the distance measured along a lateral face from the base to the tip along the "center" of the face.
*look at image attached to better understand this definition
⇒ Slant height = 5.7inches
Question 3: Find the Lateral AreaDefinition of Lateral Area: area of the non-base faces only
Lateral Area = 5 * (Area of Triangle Faces)
= [tex]5 *(\frac{1}{2} *5.7 * 4) = 5*2*5.7 = 5 * 11.4[/tex]
= 57 in^2
Hope that helps!