Question

A can has a radius of 2 inches and a volume of 62.8 cubic inches. find the height of the can. the formula for the volume of a cylinder is v = πr2h. rewrite this formula to solve for h. use your formula to find the height, h, of the can. use 3.14 for π. write your answer as a sentence.

Answer 1

h = 5 inches

Explanation:

A can is a cylinder

the volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height

given r = 2 and V = 62.8 with π ≈ 3.14 then equating

πr²h = V , that is

3.14 × 2² × h = 62.8

3.14 × 4 × h = 62.8

12.56h = 62.8 ( divide both sides by 12.56 )

`(12.56)/(12.56)` h =
`(62.8)/(12.58)` , that is

h = 5

The height h of the can is 5 inches