Question

Use the formula V = är² · h to find the heightcylinder when the radius is 3 inches and the volis 127.23 cubic inches.O 115.1 inchesO 4.5 inchesO 13.5 inchesO 6.4 inches

Answer 1

The volume of the cylinder is given by the equation

`V=\pi r^2h`

In this problem we have

V=127.23 in3

r=3 in

substitute

`\begin{gathered} 127.23=\pi(3)^2h \\ solve\text{ for h} \\ h=(127.23)/(9\pi) \\ \\ h=4.5\text{ in} \end{gathered}`

The answer is 4.5 inches