Question

The volume of a sphere is $4851$cu.cm. Its curved surface area is __________.

• A. $1386c{m}^2$
• B. $1625c{m}^2$
• C. $1716c{m}^2$
• D. $3087c{m}^2$

Answer 1

The correct option is A $1386c{m}^2$

Given:

Volume of sphere $=4851c{m}^3$

$⟹\frac{4}{3}\pi r^3=4851$

$⟹r^3=\frac{4851\times 3\times 7}{4\times 22}$

$⟹r=\frac{21}{2}$

Now,

Surface Area of Sphere $=4\pi r^2$

$=4\times \frac{22}{7}\times \frac{21}{2}\times \frac{21}{2}$

$=1386c{m}^2$