The curved surface area of a sphere is 5544 cm2.
Question:

The curved surface area of a sphere is 5544 cm2. Find its volume.

Solution:

Let the radius of the sphere be $r$.

As,

Curved surface area of the sphere $=5544 \mathrm{~cm}^{2}$

$\Rightarrow 4 \pi r^{2}=5544$

$\Rightarrow 4 \times \frac{22}{7} \times r^{2}=5544$

$\Rightarrow r^{2}=5544 \times \frac{7}{4 \times 22}$

$\Rightarrow r^{2}=441$

$\Rightarrow r=\sqrt{441}$

$\Rightarrow r=21 \mathrm{~cm}$

Now,

Volume of the sphere $=\frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \times \frac{22}{7} \times 21 \times 21 \times 21$

$=38808 \mathrm{~cm}^{3}$

So, the volume of the sphere is 38808 cm3..

 

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