Practice | Hashtable

1. 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

Solution:

Let the height of the cone be h cm
Then,

\begin{aligned} \frac{4}{3} π \times {(5)}^{3} = \frac{1}{3} π \times {(5)}^{2} \times h \\ \Rightarrow h = 20 c m \end{aligned}

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