Question

A cylinder has a height of 6 inches and a radius of 2 inches. What is its volume? Use a 3.14 and round your answer to the nearest hundredth.​

Answer 1

`\boxed {\boxed {\sf 75.36 \ inches^3}}`

Explanation:

The volume of a cylinder is found using this formula:

`v= \pi r^2h`

Th height is 6 inches, the radius is 2 inches, and we are using 3.14 for pi. Substitute the values into the formula.

`v= (3.14)(2 \ in)^2(6 \ in)`

Solve the exponent.

• (2 in)²= 2 in * 2 in = 4 in²

`v= (3.14)( 4 \ in^2)(6 \ in)`

Multiply the first two number.

`v= 12.56 \ in^2 (6 \ in)`

`v= 75.36 \ in^3`

This is already to the hundredth place, so we do not need to round.

The volume of the cylinder is 75.36 cubic inches.