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

Solution

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

$\begin{gathered} V=\pi r^2h \\ 850=3.142\times5^2\times h \\ 850=78.55^{}h \\ \text{divide both sides by 78.55} \\ \frac{850}{78.55}=\frac{78.55h}{78.55} \\ \\ h=10.82113cm \end{gathered}$

The final answer

$h=10.82cm$