The volume of a sphere is 4851 cm3. Find its curved surface area.
Let the radius of the sphere be $r$.
As,
Volume of the sphere $=4851 \mathrm{~cm}^{3}$
$\Rightarrow \frac{4}{3} \pi r^{3}=4851$
$\Rightarrow \frac{4}{3} \times \frac{22}{7} \times r^{3}=4851$
$\Rightarrow r^{3}=4851 \times \frac{3 \times 7}{4 \times 22}$
$\Rightarrow r^{3}=\frac{9261}{8}$
$\Rightarrow r=\sqrt[3]{\frac{9261}{8}}$
$\Rightarrow r=\frac{21}{2} \mathrm{~cm}$
Now,
Curved surface area of the sphere $=4 \pi r^{2}$
$=4 \times \frac{22}{7} \times \frac{21}{2} \times \frac{21}{2}$
$=1386 \mathrm{~cm}^{2}$
So, the curved surface area of the sphere is 1386 cm2.
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