The diameter of a basketball is 9.50 inches. What is the volume of the ball, rounded to the nearest hundredth?A.437.48 in3B.448.92 in3C.596.90 in3D.359.14 in3
Question
The diameter of a basketball is 9.50 inches. What is the volume of the ball, rounded to the nearest hundredth?
A. 437.48 in³
B. 448.92 in³
C. 596.90 in³
D. 359.14 in³
Solution
The volume of a sphere (which a basketball is a model of) can be calculated using the formula:
V = 4/3 * π * r³
Where:
- V is the volume
- r is the radius of the sphere
- π is a mathematical constant whose approximate value is 3.14159
Given that the diameter of the basketball is 9.50 inches, the radius would be half of this, which is 4.75 inches.
Substituting these values into the formula gives:
V = 4/3 * π * (4.75 in)³
Calculating this gives a volume of approximately 448.90 cubic inches. Therefore, the closest answer is B. 448.92 in³.
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