Question

A cylinder has a volume of 850 cm?. If the radius of thecylinder is 5cm, how tall is the cylinder? Make sure youranswer includes the proper units.

Answer 1

The formula for volume of a cylinder

`\text{Volume of cylinder=}\pi r^2h`

Given parameters

`\begin{gathered} V=850cm^3 \\ r=5cm \\ \pi=3.142 \end{gathered}`

Substitute the given parameters into the formula

`\begin{gathered} V=\pi r^2h \\ 850=3.142*5^2* h \\ 850=78.55^{}h \\ \text{divide both sides by 78.55} \\ (850)/(78.55)=(78.55h)/(78.55) \\ \\ h=10.82113cm \end{gathered}`

The final answer

`h=10.82cm`