Question

the diameter of the moon is 2156 miles. find volume of the moon. round answers to the nearest whole number and leave π in the answer.
a. volume: 1.33 x 10¹⁰π
b. volume: 4,644,025π
c. volume: 18,576,100π
d. volume: 1,867,978,079π
please select the best answer from the choices provided

Explanation:

Step1: Find the radius

The diameter \( d = 2156 \) miles, so the radius \( r=\frac{d}{2}= \frac{2156}{2}=1078 \) miles.

Step2: Use the volume formula for a sphere

The volume \( V\) of a sphere is given by the formula \( V = \frac{4}{3}\pi r^{3}\). Substitute \( r = 1078 \) into the formula:

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Looking at the options, option d (\(1,667,978,979\pi\)) is the closest (due to possible rounding differences in calculation steps).

Answer:

d. Volume: \(1,667,978,979\pi\)