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# Ex.13.8 Q1 Surface Areas and Volumes Solution - NCERT Maths Class 9

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## Question

Find the volume of a sphere whose radius is

(i) $$7 \rm cm$$

(ii) $$0.63 \rm m$$

Video Solution
Surface-Areas-And-Volumes
Ex exercise-13-8 | Question 1

## Text Solution

Reasoning:

Volume of the sphere \begin{align} = \frac{4}{3} \end{align} $$\pi r^{3}$$

What is  known?

What is unknown?

Volume of the sphere.

Steps:

(i) Radius  $$=7 \rm cm$$

Volume of the sphere

\begin{align}&= {\frac{4}{3}} \\ &= \frac{4}{3} \times \frac{{22}}{7} \times {7^3}\\ &= 1437.33\,\,c{m^3} \end{align}

(ii) Radius $$=0.63 \rm m$$

Volume of the sphere

\begin{align}&=\frac{4}{3} \pi r^{3}\\&= \frac{4}{3} \times \frac{{22}}{7} \times {(0.63)^3}\\ &= 1.05\,\,{m^3}\end{align}

Volume ($$i$$) \begin{align} = 1437.33\,\,c{m^3} \end{align}
Volume ($$ii$$) \begin{align} = 1.05\,\,{m^3} \end{align}