Question

The volume of a sphere is 38808 cm³. Its curved surface area is
(a) 5544 cm²
(b) 8316 cm²
(c) 4158 cm²
(d) 1386 cm²

Answer 1

(a) 5544 cm²
Let r cm be the radius of the sphere.
Then we have:$\frac{4}{3}\pi r^3=38808$
$\Rightarrow r^3=38808\times \frac{3\times 7}{4\times 22}$
$=9261$
$\Rightarrow r=21cm$
∴ Curved surface area=$4\pi r^2=4\times \frac{22}{7}\times 21\times 21$
$=5544c{m}^2$