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15. A ball shaped like a sphere has a radius of 2.8 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters? A) 215.2 cm C) 92 cm B) 107.6 cm D) 253.9 cm

User Mindex
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1 Answer

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Volume of a sphere

We know that the volume of a sphere is given by the following equation:


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

where π and r are numbers: π is pi and r is the radius.

Since

π = 3.14

and

r = 2.8 cm, then


\begin{gathered} Volume=(4)/(3)\pi r^3 \\ \downarrow \\ Volume=(4)/(3)\cdot3.14\cdot(2.8\operatorname{cm})^3 \end{gathered}

Since

(2.8 cm)³ = 21.952 cm³,


\begin{gathered} Volume=(4)/(3)\cdot3.14\cdot(2.8\operatorname{cm})^3 \\ \downarrow \\ Volume=(4)/(3)\cdot3.14\cdot21.952\operatorname{cm}^3 \\ \downarrow \\ Volume=91.9\operatorname{cm}^3 \end{gathered}

Since 91.9 is very near to 92, then

91.9 cm³ ≅ 92 cm³

Answer: C. 92 cm³

User Mfeineis
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