Question

If the surface area of a sphere is $324\pi c{m}^2$ then its volume is

• A. $950\pi$ $c{m}^3$
• B. $972\pi$ $c{m}^3$
• C. $975\pi$ $c{m}^3$
• D. $980\pi$ $c{m}^3$

Answer 1

The correct option is B $972\pi$ $c{m}^3$

Given the surface area of sphere is $324\pi c{m}^2$

$\therefore 4\pi r^2=324\pi \Rightarrow r^2=81\Rightarrow r=9$ cm

then volume of sphere=$\frac{4}{3}\pi (9{)}^3=\frac{4}{3}\times \pi \times 729=972\pi c{m}^3$