Question

The volume of a sphere is $38808cu.cm$. The curved surface area of the sphere (in ${cm}^2$) is:

• A. $5544$
• B. $1386$
• C. $8316$
• D. $4158$

Answer 1

Answer: (A)

Given, volume of sphere $=38808cu.cm$
Volume of a sphere of radius 'r' $=\frac{4}{3}\pi r^3$
$\therefore \frac{4}{3}\times \frac{22}{7}\times r^3=38808{cm}^3$
$r^3=9261$
$\therefore r=21cm$
Surface area of a sphere of radius 'r' $=4\pi r^2=4\times \frac{22}{7}\times 21\times 21=5544{cm}^2$