A metallic cone of radius 12 cm and height 24 cm is ,melted and made into spheres of radius 2 cm each. How many spheres are there ?

A. 108

B. 120

C. 144

D. 180

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Number of spheres :}} \cr & = \frac{{{\text{Volume of cone}}}}{{{\text{Volume of 1 sphere}}}} \cr & = \frac{{\frac{1}{3}\pi \times 12 \times 12 \times 24}}{{\frac{4}{3}\pi \times 2 \times 2 \times 2}} \cr & = 108 \cr} $$