Question

What is volume of a cylinder with base area 64pi cm2 and a height equal to twice the radius? Give your answer in terms of pi

a
256pi
b
512pi
c
4096pi
d
1024pi

Answer 1

Volume of cylinder,
`V=1024\pi\ cm^3`

Explanation:

Given that,

Area of base of a cylinder,
`A=64\pi\ cm^2`

Height,
`h=2r`, twice of radius

We know that the base area of the cylinder is in the form of a circle. So,

`\pi r^2=64\pi\\\\r=8\ cm`, r is radius of circle.

Height of cylinder becomes, h = 2r = 16 cm

Now the volume of cylinder is given by :

`V=\pi r^2* h\\\\V=A* h\\\\V=64\pi* 16\\\\V=1024\pi\ cm^3`

So, the correct option is (d).