Question

Find the volume of a sphere whose diameter is $7.2$ mm.

• A. $195.33m^3$
• B. $175.33{mm}^3$
• C. $195.33{mm}^3$
• D. $185.33{mm}^3$

Answer 1

The correct option is C $195.33{mm}^3$

Formula:

Volume of sphere =$\frac{4}{3}\pi r^3$

$r=radius$

Given:

$diameter\left(d\right)=7.2mm$

$radius\left(r\right)=\frac{d}{2}=\frac{7.2}{2}=3.6mm$

$\Rightarrow \frac{4}{3}\pi r^3=\frac{4}{3}\ast 3.14\ast (3.6{)}^3$

$=\frac{4}{3}\ast 3.6\ast 3.6\ast 3.6\ast 3.14$

$=\frac{4}{3}\ast 46.656\ast 3.14$

$=\frac{585.999}{3}$

$=195.33m{m}^3$