The diameter of a soccer ball is 8.65 inches. What is the volume of the ball, rounded to the nearest hundredth?A.323.18 in3B.234.06 in3C.313.42 in3D.338.88 in3
Question
The diameter of a soccer ball is 8.65 inches. What is the volume of the ball, rounded to the nearest hundredth?
A. 323.18 in³
B. 234.06 in³
C. 313.42 in³
D. 338.88 in³
Solution
To find the volume of a sphere (which a soccer ball is), we use the formula:
V = 4/3 * π * r³
Where:
- V is the volume
- r is the radius of the sphere
- π is a constant approximately equal to 3.14159
The diameter of the soccer ball is given as 8.65 inches. The radius is half the diameter, so r = 8.65 / 2 = 4.325 inches.
Substituting these values into the formula gives:
V = 4/3 * π * (4.325)³
Calculating this gives a volume of approximately 338.88 cubic inches.
So, the correct answer is D.338.88 in³.
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