Question

The volume of a right cylinder is 7,448 cubic centimeters. The diameter of the base of the cylinder is 28 centimeters. What is the height, in centimeters, of the cylinder?

Answer 1

The height of the cylinder is 12.1 cm approximately.

Explanation:

Given:

The volume of a right cylinder = 7,448 cubic centimeters.

The diameter of the base of the cylinder = 28 centimeters.

To find:

The height(in centimeters)of the cylinder=?

Solution:

we know that, volume of cylinder = πr2h .....................(1)

where

r is radius of base

h is height of the cylinder.

Here, in our problem,

volume= 7448 cubic cm ,

`radius = (diameter )/(2)= (28)/(2) = 14 cm`

Substituting these values in the equation(1)

`7448 = \pi *x (14)^2 h`

`h = (7448)/(196)*\pi`

`height=(38)/(\pi )`

height=12.09