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A toy ball can be modeled as a sphere. Chloe measures its diameter as 17.8 cm. Find the ball’s volume in cubic centimeters. Round your answer to the nearest tenth if necessary.

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Answer:

The volume of the sphere is 2953 cubic centimeters.

Explanation:

Remember that the formula we use to calculate the volume of a sphere is:


V=(4)/(3)\pi r^3

Where r is the radius of the sphere.

Since Chloe measured the diameter of the sphere, we have to divide the measurement by 2 in order to get the radius:


\begin{gathered} r=17.8/2 \\ \\ \Rightarrow r=8.9 \end{gathered}

Using this 8.9 cm radius, we'll have that:


\begin{gathered} V=(4)/(3)\pi*(8.9)^3 \\ \\ \Rightarrow V=2953\text{ cm}^3 \end{gathered}

Therefore, we can conclude that the volume of the sphere is 2953 cubic centimeters.

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