SOLUTION: Two right circular cylinders have equal heights. The radius of the base of the first cylinder is 3, while the radius of the base of the second cylinder is 4. What is the ratio of t

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Two right circular cylinders have equal heights. The radius of the base of the first cylinder is 3, while the radius of the base of the second cylinder is 4. What is the ratio of t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 279657: Two right circular cylinders have equal heights. The radius of the base of the first cylinder is 3, while the radius of the base of the second cylinder is 4. What is the ratio of the volume of the smaller cylinder to the volume of the larger cylinder?
A 3/4 b 4/3 c 9/16 d 16/9 e 1/2

Answer by vleith(2517) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a right circular cylinder is given by V=pi%2Ar%5E2%2Ah
That is - it is the area of the circle times the height
The height for both cylinders is the same (as given in the problem)
Radii are also given.
Ratio is ...
%28pi%2Ar%5B1%5D%5E2%2Ah%29%2F%28pi%2Ar%5B2%5D%5E2%2Ah%29
r%5B1%5D%5E2%2Fr%5B2%5D%5E2
3%5E2%2F4%5E2
9%2F16