Question

If the volume of a sphere is $4851c{m}^3$, then its surface area is

• A. $1286c{m}^2$
• B. $1386c{m}^2$
• C. $1486c{m}^2$
• D. $1390c{m}^2$

Answer 1

Answer: (B)

$1386c{m}^2$

The volume of the sphere $=4851c{m}^3$
$\frac{4\pi r^3}{3}=4851$
$r^3=\frac{9261}{8}$
$r=\frac{21}{2}cm$
Therefore, the surface area is
$=4\pi r^2$
$=4\times \frac{22}{7}\times \frac{21\times 21}{4}$
$=1386c{m}^2$
Hence, this is the answer.