SOLUTION: If two cylinders have their radii in the ratio 4:5 and heights in the ratio 5:6, then the ratio of their volumes is (1) 8:15 (2) 15:8 (3) 6:5 (4) 4:5

Algebra ->  Bodies-in-space -> SOLUTION: If two cylinders have their radii in the ratio 4:5 and heights in the ratio 5:6, then the ratio of their volumes is (1) 8:15 (2) 15:8 (3) 6:5 (4) 4:5       Log On


   

Question 292041: If two cylinders have their radii in the ratio 4:5 and heights in the ratio 5:6, then the ratio of their volumes is
(1) 8:15 (2) 15:8 (3) 6:5 (4) 4:5

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Cylinder volume is pi%2A+r%5E2+h
So the ratio varies as r%5E2+h
%284%2F5%29%5E2+%2A+%285%2F6%29
%284%2F5%29+%2A+%284%2F5%29+%2A+%285%2F6%29
%284%2A4%2A5%29%2F%285%2A5%2A6%29
16%2F30
8%2F15
ratio of 8:15