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

Question

asked Jan 7, 2021 78.9k views

1 Answer

Benjaminhull · Answer 1 · 2021-01-14T15:41:45+0000

Answer:

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).