Question

A right circular cone an and circular and a right cylinder have the same radius and the same volume. The ratio of the height of the cone to that of the cylinder is

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

Answer 1

The correct option is D $3:1$

Cone's R = Cylinder's R
Cone's Volume = Cylinder's volume
Let cone height be h, cylinder's height be H
$\frac{1}{3}\pi r^{2}h=\pi r^{2}H$
$\frac{h}{H}=\frac{3}{1}$