Question

If the length of two right circular
cylinder are in ratio of 1:2 and perimeters are in ratio of 3:4 calculate the ratio of their volume.​

Answer 1

Answer:

(1/3)π (3r)^2 h : (1/3) π (4r)^2 (2h) = 9:32

Step-by-step explanation:

The heights can be taken as h and 2h while the perimeters of the bases can be taken as 3(2πr)and 4(2πr) respectively. Hence the radii are 3r and 4r respectively.

Ratio of the volumes, therefore, will be

(1/3)π (3r)^2 h : (1/3) π (4r)^2 (2h) = 9:32