Answer:
Volume of the sphere is 41866.67 in³ .
Step-by-step explanation:
Formula
[tex]Volume\ of\ a\ sphere = \frac{4}{3}\pi\ r^{3}[/tex]
Where r is the radius of the sphere .
As given
The diameter of the sphere is 20 in.
[tex]Radius = \frac{Diameter}{2}[/tex]
[tex]Radius = \frac{20}{2}[/tex]
Radius = 10 in
[tex]\pi = 3.14[/tex]
Putting all the values in the formula
[tex]Volume\ of\ a\ sphere = \frac{4\times 3.14\times 10\times 10\times 10}{3}[/tex]
[tex]Volume\ of\ a\ sphere = \frac{4\times 314\times 10\times 10\times 10}{3\times 10}[/tex]
[tex]Volume\ of\ a\ sphere = \frac{4\times 314\times 10\times 10}{3}[/tex]
[tex]Volume\ of\ a\ sphere = \frac{125600}{3}[/tex]
Volume of a sphere = 41866.67 in³ (Approx)
Therefore the volume of the sphere is 41866.67 in³ .
