A cylinder with a radius of $4$ inches has a volume of $251.2 {i n c h e s}^{3}$ . What is the height of the cylinder?

6

inches

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5

inches

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7

inches

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8

inches

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Solution

The correct option is C $5$ inches
Volume of a cylinder $=$ $π r^{2} h$
$= 251.2 = 3.14 \times 4 \times 4 \times h$
$h = \frac{251.2}{3.14 \times 4 \times 4}$
$h = \frac{251.2}{50.24}$
$h = 5$ inches

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