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if the volume of the cylinder 500 in ^3, what s the height of the cylinder? use 3.14 for pie and round the answer to the nearest hundredthr = 4

Sagot :

Answer:

Concept:

The volume of a cylinder is calculated using the formula below

[tex]\begin{gathered} V_{\text{cylinder}}=\pi\times r^2\times h \\ \text{where,} \\ \pi=3.14 \\ V_{\text{cylinder}}=500in^3 \\ r=4 \end{gathered}[/tex]

By substituting the values, we will have

[tex]\begin{gathered} V_{\text{cylinder}}=\pi\times r^2\times h \\ 500=3.14\times4^2\times h \\ 500=50.24h \end{gathered}[/tex]

Divide both sides by 50.24

[tex]\begin{gathered} 500=50.24h \\ \frac{50.24h}{50.24}=\frac{500}{50.24} \\ h=9.95in \end{gathered}[/tex]

Hence,

The height of the cylinder = 9.95 in

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