Answer:
[tex]V = 6373.2cm^3[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{4}{3}\pi r^3[/tex] --- Volume
[tex]D = 23cm[/tex] --- Diameter
Required
Find the volume
First, we calculate the radius, r
[tex]r = \frac{1}{2}D[/tex]
Substitute 23 for D
[tex]r = \frac{1}{2} * 23[/tex]
[tex]r = 11.5[/tex]
Substitute 11.5 for r in [tex]V = \frac{4}{3}\pi r^3[/tex]
[tex]V = \frac{4}{3} * \frac{22}{7} * 11.5^3[/tex]
[tex]V = \frac{4*22*11.5^3}{3*7}[/tex]
[tex]V = \frac{133837}{21}[/tex]
[tex]V = 6373.19047619[/tex]
[tex]V = 6373.2cm^3[/tex]
