Question

determine the volume of a sphere with a diameter of 5 inches. use 3.14 for \\(\pi\\), and round your answer to the nearest inch.
a. 65 cu. in\tc. 60 cu. in
b. 75 cu. in\td. 11 cu. in
please select the best answer from the choices provided
\\(\bigcirc\\) a
\\(\bigcirc\\) b
\\(\bigcirc\\) c
\\(\bigcirc\\) d

Explanation:

Step1: Find the radius

The diameter \( d = 5 \) inches, so the radius \( r=\frac{d}{2}=\frac{5}{2} = 2.5 \) inches.

Step2: Recall the volume formula for a sphere

The volume \( V \) of a sphere is given by the formula \( V=\frac{4}{3}\pi r^{3} \).

Step3: Substitute the values

We know \( \pi = 3.14 \) and \( r = 2.5 \) inches. Substitute these values into the formula:

$$
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Rounding to the nearest whole number, we get approximately 65 cubic inches.

Answer:

A. 65 cu. in