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

1024 pi

b

4096 pi

c

256 pi

d

512 pi

a 1024

Step-by-step explanation:

To find the base area it is pi r^2, so work backwards 64pi = pir^2. Divide both sides by pi to cancel and you have 64=r^2, square root both sides and you get r=8. Using the radius to find the height you then multiply 8 by 2 so the height is 16. The formula to find Volume of a Cylinder is V = Bh, B=64 h=16.

So it equals 1024