Question

The radii of two cylinders are in the ratio $2:3,$find the ratio of their volumes if their heights are in the ratio of $5:3$

Answer 1

We have $r_1:r_2=2:3$

$h_1:h_2=5:3$

$V_1:V_2=\pi {r_1}^2{h}_1:\pi {r_2}^2{h}_2=r_1^2{h}_1:r_2^2{h}_2$

$=2\times 2\times 5:3\times 3\times 3=20:27$

Ratio of their volumes$=20:27$