Question

The radius of a sphere is ${\displaystyle \frac{7}{2}}$ cm. The volume of the sphere is ______.

Options

• ${\displaystyle \frac{231}{3}}$ cu cm

• ${\displaystyle \frac{539}{12}}$ cu cm

• ${\displaystyle \frac{539}{3}}$ cu cm

• 154 cu cm

Answer 1

The radius of a sphere is ${\displaystyle \frac{7}{2}}$ cm. The volume of the sphere is ${\displaystyle \underline{\frac{539}{3} \text{cu cm}}}$.

Explanation:

Given that,

Radius of sphere, r = ${\displaystyle \frac{7}{2}}$ cm

We know that,

Volume of Sphere = ${\displaystyle \frac{4}{3}\pi r^3}$

Volume = ${\displaystyle \frac{4}{3}\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times \frac{7}{2}}$

Volume = ${\displaystyle \frac{11\times 7\times 7}{3}}$

∴ Volume = ${\displaystyle \frac{539}{3} {\text{cm}}^3}$