The diameter of a men's basketball is 24.2 centimeters. Compute the volume of the men's basketball. Use 3.14 for π. 1854.2 cm3 5562.7 cm3 7416.94 cm3 59,335.5 cm3
Mathematics · High School · Sun Jan 24 2021
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Given:
Diameter of basketball = 24.2 cm)
Radius = d/2
Radius of the basketball = 24.2 cm/2
Radius of the basketball = 12.1 cm
Determine the volume of the basketball.
Formula for the volume of the sphere:
V = 4/3 πr³
Solution:
Substitute the given value of radius to the formula for the volume of the sphere.
V = 4/3 π(12.1 cm)³
V = 4/3 π(1,771.56 cm^3)
V = 2,362.08 π cm^3
V = 7420.6 cm^3
Final answer:
V = 7420.6 cm^3