SOLUTION: two cylinders have the same volume. If the radius of cylinder 1 is 3 times the radius of cylinder 2, then the height of cylinder 2 is how many times the height of cylinder 1?

Algebra.Com
Question 721303: two cylinders have the same volume. If the radius of cylinder 1 is 3 times the radius of cylinder 2, then the height of cylinder 2 is how many times the height of cylinder 1?
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
radius of cylinder 1: 3r
radius of cylinder 2: r
height of cyl 1: h
height of cyl 2: y

volume of cylinder 1:
volume of cylinder 2:

The volumes are expected to be equal. We want to know the ration of y to h.

Divide both sides by ,

. Ratio of heights of cylinder 2 to cylinder 1

RELATED QUESTIONS

Two cylinders have the same volume. If the radius of one cylinder is twice that of the... (answered by mananth)
Two cylinders both have a height of 10 inches, however the radius of Cylinder A is 3... (answered by josgarithmetic)
two right circular cylinders have the same height, 45 centimeters. The radius of the... (answered by ramkikk66)
The dimensions of four different cylinders are given below. Which cylinder has the... (answered by Fombitz)
What would the volume of the region between two cylinders be if the largerst cylinder... (answered by stanbon)
Two right circular cylinders have equal heights. The radius of the base of the first... (answered by vleith)
two circular cylinders have the same altitude. Find the ratio of their volumes if the... (answered by KMST,Alan3354)
Two circular cylinders have the same altitude. Find the ratio of their volumes if the... (answered by ikleyn)
The volume of a cylinder is 49pi. Find the radius and height of the cylinder. The radius... (answered by edjones)