Question

If the volume of a sphere is $\frac{9}{16}\pi$ $cu.cm$, then its radius is

• A. $\frac{4}{3}cm$
• B. $\frac{3}{4}cm$
• C. $\frac{3}{2}cm$
• D. $\frac{2}{3}cm$

Answer 1

Answer: (B)

$\frac{3}{4}cm$

We have,

$V=\frac{9\pi }{16}c{m}^3$

We know that the volume of the sphere

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

So,

$\frac{4}{3}\pi \times r^3=\frac{9\pi }{16}$

$\frac{4}{3}{r}^3=\frac{9}{16}$

$r^3=\frac{27}{64}$

$r=\frac{3}{4}cm$

Hence, this is the answer.