Question

Find the amount of water displaced by a solid spherical ball of diameter
0.21 m​

Answer 1

$\boxed{\mathfrak\purple{Amount \: of \: water \: displaced \: by \: spherical \: ball \: is \: {0.004851m}^{3} }}$

Given:

• Diameter of solid spherical ball = 0.21m.

To Find:

• Volume of sphere = ?

Solution:

$\star \: \red{\underline{\mathfrak{Radius =}}}$

$\\ \\ :\implies\mathfrak{Radius = \frac{diameter}{2} } \\ \\ \\ \\ \\ \\ \\ :\implies\mathfrak{Radius =\dfrac{\cancel{0.21}}{\cancel{2}}} \\ \\ \\ \\ \\ \\ \\ \\ \\ \boxed{:\implies\mathfrak\orange{Radius = 0.105m}}$

We know that,

$\star \: \boxed{\mathfrak\green{Volume \: of \: sphere \: = \: \frac{4}{3} \pi \: {r}^{3} }}$

Substituting values,

$:\implies\mathfrak{ \frac{4}{3} \times \frac{22}{7} \times ( {0.105)}^{3} } \\ \\ \\ \\ \\ :\implies\mathfrak{0.004851} \\ \\ \\ \\ \\ \\ \\ \boxed{:\implies\mathfrak\pink{volume \: of \: ball = 0.004851 {m}^{3} }}$

Hence,

• Amount of water displaced by solid spherical ball is 0.004851m³.