Problem

What is the volume of a sphere with a diameter of $57.1 \mathrm{~cm}$, rounded to the nearest tenth of a cubic centimeter?

Answer

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Answer

Round the volume to the nearest tenth of a cubic centimeter: \(\boxed{97478.1 \mathrm{~cm^3}}\)

Steps

Step 1 ：Given diameter = 57.1 cm, find the radius by dividing the diameter by 2: \(r = \frac{57.1}{2} = 28.55 \mathrm{~cm}\)

Step 2 ：Use the formula for the volume of a sphere: \(V = \frac{4}{3} * \pi * r^3\)

Step 3 ：Plug in the radius: \(V = \frac{4}{3} * \pi * (28.55)^3\)

Step 4 ：Calculate the volume: \(V \approx 97478.07565345647 \mathrm{~cm^3}\)

Step 5 ：Round the volume to the nearest tenth of a cubic centimeter: \(\boxed{97478.1 \mathrm{~cm^3}}\)

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