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. 338.88 in³ d. 313.42 in³

Explanation:

Step1: Find the radius

The radius \( r \) of a sphere is half of its diameter. Given the diameter \( d = 8.65 \) inches, so \( r=\frac{d}{2}=\frac{8.65}{2}=4.325 \) inches.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \( V=\frac{4}{3}\pi r^{3} \).
Substitute \( r = 4.325 \) into the formula:

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Wait, there is a mistake. Let's recalculate \( (4.325)^{3}=4.325\times4.325\times4.325=(4.325)^{2}\times4.325 = 18.705625\times4.325=81.189140625\)

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Correct way:

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Another way:

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Answer:

C. \( 338.88\ in^{3} \)