Question

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

• A. 1385 $c{m}^2$
• B. 1386 $c{m}^2$
• C. 1486 $c{m}^2$
• D. 1390 $c{m}^2$

Answer 1

The correct option is A 1385 $c{m}^2$

Given the volume of sphere is $4851c{m}^3$

So $\frac{4}{3}\pi r^3=4851c{m}^3$

$\Rightarrow r^3=\frac{3\times 4851}{4\pi }$

$\Rightarrow r=10.5cm$

Then surface area of sphere=$4\pi r^2=4\times 3.14\times (10.5{)}^2=1384.76c{m}^2\approx 1385c{m}^2$