The diameter of a soccer ball is 8.65 inches. What is the volume of the ball, rounded to the nearest hundredth?A.338.88 in3B.234.06 in3C.313.42 in3D.323.18 in3SUBMITarrow_backPREVIOUS
Question
The diameter of a soccer ball is 8.65 inches. What is the volume of the ball, rounded to the nearest hundredth?A.338.88 in3B.234.06 in3C.313.42 in3D.323.18 in3SUBMITarrow_backPREVIOUS
Solution
To find the volume of a sphere (which a soccer ball is), you can 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 3.14159)
Given that the diameter of the soccer ball is 8.65 inches, the radius would be half of that, which is 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 answer is A. 338.88 in³.
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