Question

A cylinder has a volume of 900 cu cm and a base with a diameter of 14 cm. Find the height of the cylinder to two decimal places. A) 17.54 cm B) 1.46 cm C) 5.85 cm D) 20.46 cm E) 40.93 cm

Answer 1

The height of the cylinder is 5.85 cm.

Explanation:

Given that,

Volume of cylinder,
`V=900\ cm^3`

Diameter of the base of cylinder, d = 14 cm

Radius, r = 7 cm

We need to find the height of the cylinder. The volume of cylinder is given by :

`V=\pi r^2h`

h is height of cylinder

`h=(V)/(\pi r^2)`

`h=(900)/((22)/(7)* (7)^2)\\\\h=5.85\ cm`

So, the height of the cylinder is 5.85 cm.