how much will the volume of sphere be reduced if radius of sphere is halfed?
Hello, Anjana,
let $\displaystyle r_1=r$ and $\displaystyle r_2=\frac{1}{2}r$
Then you have $\displaystyle V_1=\frac{4}{3} \pi r^3$ and
$\displaystyle V_2=\frac{4}{3} \pi (\frac{1}{2}r)^3$ . Expand:
$\displaystyle V_2=\frac{4}{3} \pi \frac{1}{8}r^3=\frac{1}{8} \cdot \frac{4}{3} \pi r^3$
Now compare $\displaystyle V_1\ \text{and} \ V_2$
EB