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  4. The maximum possible sphere is carved out of a cube of edge 7 mathrm~cm. Find its surface area (in mathrmcm2 ).

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Q. The maximum possible sphere is carved out of a cube of edge $7 \mathrm{~cm}$. Find its surface area (in $\mathrm{cm}^2$ ).

Mensuration

Solution:

Diameter of the sphere $=$ the edge of the
$ \text { cube }=7 \mathrm{~cm} $
$\Rightarrow 2 r=7 \mathrm{~cm} \Rightarrow r =\frac{7}{2} \mathrm{~cm} $
$\therefore \text { Surface area } =4 \pi r^2=4 \times \frac{22}{7} \times\left(\frac{7}{2}\right)^2$
$=154 \mathrm{~cm}^2$