Question
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 ?
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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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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