Question

The volume of a sphere is $4851c{m}^3$. Find the surface area of the sphere.

• A. $1241c{m}^2$
• B. $1386c{m}^2$
• C. $1564c{m}^2$
• D. $1614c{m}^2$

Answer 1

Answer: (B)

$1386c{m}^2$

Let radius of sphere be '$r$' cm. Then

Volume of sphere $=\frac{4}{3}\pi r^3=4851{cm}^3$

$\Rightarrow r^3=\frac{4851\times 7\times 3}{4\times 22}\Rightarrow r^3=\frac{441\times 21}{8}\Rightarrow r=\sqrt[3]{3\frac{441\times 21}{8}}=\frac{21}{2}=10.5cm$

Therefore, surface area $=4\pi r^2=4\times \frac{22}{7}\times 10.5\times 10.5=1386{cm}^2$