Question

If the height of right circular cylinders are in the ratio 3:4 and perimeters are in the ratio 1:2; then find the ratio of their volume​

Answer 1

Answer:

Ratio of radius of Cylinder1 to that of cylinder2 = 3:2 (given)

=> radius of cylinder1 = 3x unit

& radius of cylinder2 = 2x unit

Ratio of their heights = 4:3 (given)

=> height of cylinder1 = 4y unit

& height of cylinder2 = 3y unit

Hence volume of cylinder1 = pi (3x)² * 4y . . .(1)

Volume of cylinder2 = pi(2x)² * 3y . . . . (2)

Hence, Volume ratio = (pi* 9x² *4y) /( pi * 4x² *3y)

=> 36pi/12pi

=> 3:1