Question

question 11 of 39
the diameter of a volleyball is 8.15 inches. what is the volume of the ball,
rounded to the nearest hundredth?
a. 695.57 in³
b. 283.45 in³
c. 278.23 in³
d. 208.67 in³

Explanation:

Step1: Find the radius

The formula for the radius \(r\) of a sphere is \(r=\frac{d}{2}\), where \(d\) is the diameter. Given \(d = 8.15\) inches, so \(r=\frac{8.15}{2}=4.075\) inches.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 4.075\) into the formula:

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Answer:

B. \(283.45\ \text{in}^3\)