Question

A cylinder circumscribes a sphere. The ratio of their volumes is

• A. $1:2$
• B. $2:3$
• C. $3:4$
• D. $5:6$

Answer 1

The correct option is B $2:3$

Volume of cylinder, $V_1=\pi r^{2}h=\pi r^2\times 2r$

$=2\pi r^3$

Volume of sphere, $V_2=\frac{4}{3}\pi r^3$

$V_2:V_1=\frac{4}{3}\pi r^3:2\pi r^3=2:3$