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Find the volume of the sphere. Express your answer as an mixed number

Find the volume of the sphere. Express your answer as an mixed number-example-1
User Kiwijus
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Given the circumference is 40π feet, we can find the radius of the sphere. Shown below:


\begin{gathered} C=2\pi r \\ 40\pi=2\pi r \\ r=(40\pi)/(2\pi) \\ r=20 \end{gathered}

The radius is 20 feet.

Let's put this value into the volume of a sphere formula,


\begin{gathered} V=(4)/(3)\pi r^3 \\ V=(4)/(3)\pi(20)^3 \\ V=(32000)/(3)\pi\text{ ft\textasciicircum{}}3 \end{gathered}Final Answer
V=(32,000)/(3)\pi\text{ cubic feet}

User Marcha
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