Question

a basketball has a diameter of 10 inches. what is its volume in cubic inches? use π ≈ 3.14. a. 523.33 in³ b. 400.00 in³ c. 500.00 in³ d. 423.33 in³

Explanation:

Step1: Find the radius

The formula for radius \(r\) is \(r=\frac{d}{2}\). Given \(d = 10\) inches, so \(r=\frac{10}{2}=5\) inches.

Step2: Use the volume formula for a sphere

The volume formula for a sphere is \(V=\frac{4}{3}\pi r^{3}\). Substitute \(r = 5\) inches and \(\pi\approx3.14\) into the formula:

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Answer:

A. \(523.33\mathrm{in}^3\)