Question

Find the volume of a sphere of radius 3cm.

Answer 1

Hint- Here we will proceed by using formula of volume of sphere i.e. ${\displaystyle \frac{4}{3}}\pi r^3$
 where r is the radius given in the question. Hence we will get the desired result.

Complete step-by-step answer:

As we know that the volume of sphere of radius r is given by-
Volume of sphere $={\displaystyle \frac{4}{3}}\pi r^3$
Here in the question, we are given that radius of sphere is 3cm
So now the volume of sphere with r = 3 will be-
$V={\displaystyle \frac{4}{3}}\pi {\left(3\right)}^3$
$V={\displaystyle \frac{4\times 22\times 3\times 3\times 3}{3\times 7}}$
$\therefore volume=113.143c{m}^3$
Hence the volume of sphere of radius 3cm is $113.143c{m}^3.$

Note- In order to solve this question, we must know the formula of volume of sphere i.e. ${\displaystyle \frac{4}{3}}\pi r^3$. Along with that formula, we must know all the formulas of a sphere like total surface area i.e. $4\pi r^3$ to solve similar kinds of problems.