SOLUTION: A right circular cylinder has height 6 and volume 54pie . What is the circumference of its base?

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Question 637373: A right circular cylinder has height 6 and volume 54pie . What is the circumference of its base?
Found 2 solutions by ewatrrr, Stitch:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,

A right circular cylinder has height 6 and volume 54pie
+r%5E2+=+V%2F%28pi%2Ah%29+=+54pi%2F%28pi%2A6%29+=+9
r^2 = 9, r = 3 and C+=+2pi%2Ar+=++6pi

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cylinder is: V = pi* r^2 * h
We are given V = 54pie
h = 6
54pi = pi * r^2 * 6
Divide both sides by 6
9pi = pi * r^2
Divide both sides by pi
9 = r^2
take the square root of both sides
sqrt%289%29+=+3
3 = r
The circumference of a circle is 2*pi*r
So the circumference is: 2*pi*3 or
highlight%286pi%29