Question

Volume of a cylinder = 36 cm${}^3$, then volume of cone having same height and radius is:

• A. $9c{m}^3$
• B. $12c{m}^3$
• C. $15c{m}^3$
• D. $18c{m}^3$

Answer 1

The correct option is B $12c{m}^3$

Volume of cylinder is given by: $V_1=\pi r^{2}h$
Volume of cone is given by: $V_2=\frac{1}{3}\pi r^{2}h$
$⟹\frac{V_2}{V_1}=\frac{1}{3}$
$V_2=\frac{36}{3}c{m}^3$ as given volume of cylinder is $36c{m}^3$
$V_2=12c{m}^3$