Question

The base radius and height of a right circular solid cone are 12 cm and 24 cm respectively. It is melted and recast into spheres of diameter 6 cm each. Find the number of spheres so formed.

• A. 64
• B. 32
• C. 16
• D. 20

Answer 1

The correct option is B

32

Volume of the cone $=\frac{1}{3}\pi (12{)}^2\times 24=1152\pi c{m}^3$
Radius of each spherical ball$=\frac{6}{2}=3$
Number of spherical balls$=\frac{3\times 1152\pi }{4\pi (3{)}^3}=32$.