Question

A solid right circular cone of height 8 cm and radius 6 cm is melted and right circular cylinders of height 2 cm and radius 4 cm are made The number of cylinder made will be

• A. 4
• B. 3
• C. 2
• D. 5

Answer 1

The correct option is B 3

Number of cylinders made $=\frac{Volumeofcone}{Volumeofeachcylinder}$

Volume of a cone $=\frac{1}{3}\pi r^{2}h$

where r is the radius of the base of the cone and h is the height.

Volumeof a Cylinder of Radius "R" and height "h" $=\pi R^{2}h$

Hence, number of cylinders made $=\frac{\frac{1}{3}\pi \times 6^2\times 8}{\pi \times 4^2\times 2}=3$