Question

The radius of the base and height of a cone and a cylinder are 3 cm and 5 cm respectively. The ratio of their volume is

• A. 1 : 3
• B. 15 : 8
• C. 15 : 16
• D. 45 : 16

Answer 1

The correct option is A

1 : 3

Given, radius of the base of cone = 3 cm
Height of the cone = 5 cm

Radius of the base of cylinder = 3 cm
Height of the cylinder = 5 cm

Radius of the base of cone = Radius of the base of cylinder = 3 cm
Height of the cone = Height of the cylinder = 5 cm

$\frac{Volumeofcone}{VolumeofCylinder}=\frac{\frac{1}{3}\pi r^{2}h}{\pi r^{2}h}=\frac{1}{3}$ [Since r and h for the cone and the cylinder are equal]