Question

The heights of two cylinders are equal. The radii are R and r. Then the ratio of their volumes is

A) R² : r²

B) R : r³

C) R : r²

D) R² : r

Answer 1

Correct option is: A) R² : r²

\(\frac {V_1}{V_2} \) = \(\frac {\pi \, r_1^2h_1}{\pi \, r_2^2 h_2} = \frac {\pi R^2h}{\pi r^2h} = \frac {R^2}{r^2} = R^2 : r^2\)

Hence, the ratio of their volumes is \(R^2 : r^2\).

Answer 2

Correct option is: A) R² : r²