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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 ?

a) 5 cm
b) 10 cm
c) 15 cm
d) 20 cm

Answer: d
Explanation: Let the height of the cone be h cm
$$\eqalign{ & \frac{4}{3}\pi \times {\left( 5 \right)^3} = \frac{1}{3}\pi \times {\left( 5 \right)^2} \times h \cr & \Rightarrow h = 20\,cm \cr} $$

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