Question

If a cylinder has a volume of 1810 cubic feet and a radius of 12 feet, then find the height. (Hint: Solve the equation for h first!)

Answer 1

The rule of the volume of a cylinder is

$V=\pi r^2h$

Where:

r is the radius of its base

h is its height

The given is:

V = 1810 cubic feet

r = 12 feet

Substitute them in the rule above

$\begin{gathered} 1810=\pi(12)^2h \\ 1810=144\text{ }\pi\text{ h} \end{gathered}$

To find h divide both sides by 144 pi

$\begin{gathered} \frac{1810}{144\pi}=144\pi\text{ h/144}\pi \\ 4.000978431=h \end{gathered}$

h = 4 feet