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. $\dfrac{4}{3}\pi {r^3}$
 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 $ = \dfrac{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-
$V = \dfrac{4}{3}\pi {\left( 3 \right)^3}$
$V = \dfrac{4 \times 22 \times 3 \times 3 \times 3}{3 \times 7}$
$\therefore volume = 113.143c{m^3}$
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. $\dfrac{4}{3}\pi {r^3}$. 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.