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

Answer:

Concept:

The volume of a cylinder is calculated using the formula below

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

By substituting the values, we will have

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

Divide both sides by 50.24

$\begin{gathered} 500=50.24h \\ \frac{50.24h}{50.24}=\frac{500}{50.24} \\ h=9.95in \end{gathered}$

Hence,

The height of the cylinder = 9.95 in