SOLUTION: two right circular cylinders have the same height, 45 centimeters. The radius of the smaller cylinder is 22 centimeters and the radius of the larger cylinder is 6 times greater tha

Algebra ->  Volume -> SOLUTION: two right circular cylinders have the same height, 45 centimeters. The radius of the smaller cylinder is 22 centimeters and the radius of the larger cylinder is 6 times greater tha      Log On


   

Question 761448: two right circular cylinders have the same height, 45 centimeters. The radius of the smaller cylinder is 22 centimeters and the radius of the larger cylinder is 6 times greater than that of the smaller cylinder. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder?
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of a cylinder = pi+%2A+r%5E2+%2A+h where r is the radius of the base and h is the height.
From the formula, we see that volume is proportional to the square of the radius.
So, if the radius of the larger cylinder is 6 times that of the small cylinder, the volume would be 6%5E2+=+36 times.
Note that you don't actually need the values of the radius and height to get this answer, since only the "ratio" is asked for.
:)