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a sphere has a diameter of 19 inches. what is the volume of the sphere?…

Question

a sphere has a diameter of 19 inches. what is the volume of the sphere? use 3.14 or the calculator value for pi and provide an answer accurate to the nearest hundredth. label required

Explanation:

Step1: Find the radius

The diameter \( d = 19 \) inches, so the radius \( r=\frac{d}{2}=\frac{19}{2} = 9.5 \) inches.

Step2: Use the volume formula for a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( \pi = 3.14 \) and \( r = 9.5 \) into the formula:

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Answer:

\( 3589.18 \) cubic inches