Answer: #.37 times greater
Explanation: Volume of a sphere is: V = [tex]\frac{4}{3}[/tex]·π·r³
Since it is given the diameter of the basketball and the softball, their ratios are r₁ = 3in and r₂ = 2in, in which index 1 represents the basketball and index 2, the softball.
Calculating the volume of basketball:
V₁ = [tex]\frac{4}{3}[/tex] . 3.14 . 3³
V₁ = 113.04 in³
Calculating the volume of softball:
V₂ = [tex]\frac{4}{3}[/tex] . 3.14 . 2³
V₂ = 33.5 in³
Comparing one volume with the other:
[tex]\frac{V1}{V2}[/tex] = [tex]\frac{113.04}{33.5}[/tex] = 3.37
We have that V₁ = 3.37V₂
This means the volume of a basketball is 3.37 times greater than the volume of a softball.
