A solid piece of metal in the form of a cuboid of dimensions $11$ cm $ imes$ $7$ cm $ imes$ $7$ cm is melted to form '$n$' number of solid spheres of radii $\frac{7}{2}$ cm each. Find the value of $

Question

A solid piece of metal in the form of a cuboid of dimensions $11$ cm $	imes$ $7$ cm $	imes$ $7$ cm is melted to form '$n$' number of solid spheres of radii $\frac{7}{2}$ cm each. Find the value of $n$.

Accepted Answer

Step 1: $n 	imes \frac{4}{3} 	imes \frac{22}{7} 	imes \left(\frac{7}{2}ight)^3 = 11 	imes 7^2$
Step 2: $\Rightarrow n = 3$

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Solution