Question

A tennis ball is of diameter is 7.0 cm . What isvits volume (i)cm³ (ii) m³?

Answer 1

$\sf Here \begin{cases} \: \sf Diameter = \textbf{ \textsf{7 cm}} & \\ \\ \:\sf Radius = \textsf{ \textbf{ 7/2 cm}}\end{cases}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

We've to find the required volume of the ball in cm³ & m³ respectively !

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

We know the required formula for Volume of sphere ( As the ball is spherical in shape)

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Accordingly,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\tt Volume \: of \: Sphere = \dfrac{4}{3}\pi {r}^{2}$

$:\implies\tt \dfrac{4}{3} \times \dfrac{22}{7} \times \dfrac{7}{2} \times \dfrac{7}{2} \times \dfrac{7}{2}$

$:\implies\tt \dfrac{1}{3} \times 11\times 7 \times 7$

$:\implies\tt11 \times 49 \times \dfrac{1}{3}$

$:\implies\tt \dfrac{539}{3}$

$\large:\implies\tt \blue{179.66 \: cm{}^{3} }$

Now, we'll Convert 179.66 cm³ into m³.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies \tt179.66 \times 10^{-6} \: m$

$:\implies{ \boxed{ \tt{ \purple{0.00017966 \: {m}^{3}}}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\therefore$ The required volume of ball is 179.66cm³.

⠀⠀⠀Additional information :

$\boxed{\begin{minipage}{6cm}\bigstar \;{\underline{\boxed{\sf{Some\: Important \:Formulas:}}}}\\\\ \sf\bullet\:Surface\; Area = \bf 4\pi r^2&\\ \\ \sf\bullet\:Volume =\bf \dfrac{4}{3}\pi{r}^{2}\\\\ \sf \bullet\:TSA = CSA [ In\: the \:case \:of \:Sphere ]\\ \end{minipage}}$