Question

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

Answer 1

Concept:

The volume of a cylinder is calculated using the formula below

`\begin{gathered} V_{\text{cylinder}}=\pi* r^2* h \\ \text{where,} \\ \pi=3.14 \\ V_{\text{cylinder}}=500in^3 \\ r=4 \end{gathered}`

By substituting the values, we will have

`\begin{gathered} V_{\text{cylinder}}=\pi* r^2* h \\ 500=3.14*4^2* h \\ 500=50.24h \end{gathered}`

Divide both sides by 50.24

`\begin{gathered} 500=50.24h \\ (50.24h)/(50.24)=(500)/(50.24) \\ h=9.95in \end{gathered}`

Hence,

The height of the cylinder = 9.95 in