Question

The volume of a cylinder is 64 in3 find the height of the cylinder ( in inches) if the radius is 4 in.

Answer 1

Answer:

1.27 in....

Step-by-step explanation:

to find the volume of cylinder

HERE Shown...

Radius × Radius × Height × Pi

Additional Info

Radius is half of diameter.

Pi = 3.14159

Example

You have a cylinder with a 5 inch diameter and it's 6 inches high. What is the volume of this cylinder?

(5 Inch Diameter Divided by 2) = 2.5 Inch Radius

2.5 Inch Radius × 2.5 Inch Radius = 6.25

6.25 × 6 Inches Height = 37.5

37.5 × 3.14159 = 117.809625 Cubic Inches

The volume of a cylinder 5 inches in diameter and 6 inches high is 117.81 cubic inches.

Additional Conversion Information:

Convert cubic inches to cubic centimeters: 1 Cubic Inch = 16.387064 Cubic Centimeters

117.809625 Cubic Inches × 16.387064 = 1930.55 Cubic Centimeters

Convert cubic inches to liters: 1 Cubic Inch = 0.016387064 Liters

117.809625 Cubic Inches × 0.016387064 = 1.9305 Liters

mark me as the brainlist pls.....

Answer 2

Solution

Given:-

• Volume of cylinder = 64 inch ³
• Radius of cylinder = 4 inch

Find:-

• Height of cylinder = ?

Explanation

Formula

$\boxed{\underline{\tt{\red{\:(Volume\:of\:cylinder)\:=\:\pi.(Radius)^2.(Height)}}}}$

So,

==> Volume of cylinder = 22/7 * 4² * Height

==> 64 = 22/7 * 4² * Height

==> Height = 64 * 7 /(22 * 4²)

==> Height = (4 * 7)/22

==>Height = 28/22

==> Height = 14/11 inch.

Hence

• Height of cylinder will be = 14/11 inch.

_________________

$\Large\underline{\tt{\orange{\:Answer\:Verification}}}$

[Volume of cylinder 64 inch³]

==> Volume of cylinder = π.Radius².Height

keep above all values.

==> 64 = 22/7 * 4² * 14/11

==> 64 = 2 * 16 * 2

==> 64 = 64

L.H.S. = R.H.S.

That's proved.

Since, we can say that our Solution is right .