A metallic sphere of radius 5 cm is melted to make a cone with base of the same radius. What is the height of the cone ?
Options:
A . 5 cm
B . 10 cm
C . 15 cm
D . 20 cm
Answer: Option D Let the height of the cone be h cm Then, $$\eqalign{ & \frac{4}{3}\pi \times {\left( 5 \right)^3} = \frac{1}{3}\pi \times {\left( 5 \right)^2} \times h \cr & \Rightarrow h = 20\,cm \cr} $$
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