Answer:
V = 8,181.23 [tex]cm^{3}[/tex]
Step-by-step explanation:
Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...
V = [tex]\frac{4}{3} * \pi * r^{3}[/tex]
radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.
V = [tex]\frac{4}{3} * \pi * 12.5^{3}[/tex]
V = [tex]\frac{4}{3} * \pi * 1953.125[/tex]
V = 8,181.23 [tex]cm^{3}[/tex]
