SOLUTION: I have worked/reworked this too many times. This one is stumping me. A cylinder with radius 3in and height 4in has its radius tripled. How many times greater is the volume of th

Algebra ->  Volume -> SOLUTION: I have worked/reworked this too many times. This one is stumping me. A cylinder with radius 3in and height 4in has its radius tripled. How many times greater is the volume of th      Log On


   

Question 97951This question is from textbook intro alg blitzer
: I have worked/reworked this too many times. This one is stumping me.
A cylinder with radius 3in and height 4in has its radius tripled. How many times greater is the volume of the larger cylinder than the smaller cylinder?
Here's my solution to the V smaller:
V=pi r(cubed)h
V=pi * 3(cubed)*4
V=pi *27 *4
V= 108 pi
would you show me the steps on how to get this one solved, ty. This question is from textbook intro alg blitzer

Answer by mathslover(157) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of a cyclinder = %28pi%29r%5E2h where r is the radius and h the height of the cylinder
Volume of the smaller cylinder (V1)= %28pi%29%2A%283%5E2%29%2A4
Radius of the larger cylinder = 3*3 = 9
Volume of the larger cylinder (V2)
= %28pi%29%2A%289%5E2%29%2A4
=9%2A%28%28pi%29%2A%283%5E2%29%2A4%29 since 9%5E2 is same 9+%2A3%5E2
=9%2AV1
So we have
V2= 9V1
the larger cylinder is 9 times the volume of the smaller cylinder