SOLUTION: Geometry: A cylinder has a radius of 4 in. If the volume of the cylinder is 48ח in.3, what is the height of the cylinder?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Geometry: A cylinder has a radius of 4 in. If the volume of the cylinder is 48ח in.3, what is the height of the cylinder?       Log On


   

Question 125826: Geometry: A cylinder has a radius of 4 in. If the volume of the cylinder is
48ח in.3, what is the height of the cylinder?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
V=pi%2Ar%5E2%2Ah Start with the volume of a cylinder formula


48pi=pi%2A%284%29%5E2%2Ah Plug in V=48pi and r=4 (these are given)


48pi=pi%2A16%2Ah Square 4 to get 16


48pi=16pi%2Ah Rearrange the terms


48pi%2F16pi=cross%2816pi%2F16pi%29%2Ah Divide both sides by 16pi to isolate and solve for h


48cross%28pi%29%2F16cross%28pi%29=h Divide and cancel out pi on the left side


48%2F16=h Simplify


3=h Reduce


h=3

So the height is 3 inches