Question

The radius of sphere is 2d/3 then find its volume in terms of ] \pi

Answer 1

radius of the sphere = 2d/3

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

= $\frac{4}{3} \pi ( \frac{2d}{3} )^3$

= $\frac{4}{3} \pi ( \frac{8d^3}{27} )$

= $\frac{32\pi d^3}{81}$

Answer 2

Answer:

$V=\frac{32}{81}\pi d^3$

Step-by-step explanation:

The radius of the sphere is $\frac{2d}{3}$

The volume of a sphere is given by the formula

$V=\frac{4}{3}\pi r^3$

Substituting the value of radius r, we get

$V=\frac{4}{3}\pi (\frac{2d}{3})^3$

On simplifying, we get

$V=\frac{4}{3}\pi\cdot\frac{8d^3}{27}\\\\V=\frac{32}{81}\pi d^3$

Therefore, the volume of the sphere is $\frac{32}{81}\pi d^3$