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Val measures the diameter of a ball as 14 inches. How many cubic inches of air does this ball hold, to thenearest tenth? Use 3.14 forn.The ball holds aboutcubic inches of air.

Val measures the diameter of a ball as 14 inches. How many cubic inches of air does-example-1
User Sufiyan Ghori
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1 Answer

18 votes
18 votes

we know that

The volume of the sphere is equal to


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

In this problem we have

r=14/2=7 in ----> the radius is half the diameter

pi=3.14

substitute the given values


\begin{gathered} V=(4)/(3)_{}\cdot(3.14)\cdot(7^3) \\ V=1,436.0\text{ in\textasciicircum{}3} \end{gathered}

answer is 1,436.0 cubic inches

User Aayush
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