Question

The volume of a sphere is $\frac{88}{21}\times (14{)}^{3}c{m}^3$. The curved surface of the sphere is (Take $\pi =\frac{22}{7}$).

• A. $2424c{m}^2$
• B. $2446c{m}^2$
• C. $2484c{m}^2$
• D. $2464c{m}^2$

Answer 1

The correct option is D $2464c{m}^2$

Given that,
Volume of sphere $=\frac{88}{21}\times (14{)}^3$
We know that,
Volume of the sphere $=\frac{4}{3}\pi r^3$
$\frac{4}{3}\pi r^3=\frac{88}{21}\times (14{)}^3$
$\Rightarrow \frac{4}{3}\times \frac{22}{7}\times r^3=\frac{88}{21}\times (14{)}^3$
$r^3\Rightarrow (14{)}^3\Rightarrow r=14$
We know that,
Curved surface of the sphere $=4\pi r^2$
$=4\times \frac{22}{7}\times 14\times 14=2464c{m}^2$.