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