Question

he volume V of a right circular cylinder is given by the formula V=²h, where r is the radius and h is the height.a) Solve the formula for h.b) Find the height of a right circular cylinder whose volume is 32 cubic inches and whose radius is 4 inches.

Answer 1

The formula for the volume of a cylinder is

`V=\pi r^2h`

To make h a subject divide both sides by pi r^2

`a)h=(V)/(\pi r^2)`

The volume is 32 cubic inches

V = 32

The radius is 4 inches

r = 4

Use pi = 3.141

`\begin{gathered} h=(32)/((3.141)(4^2)) \\ \\ h=(32)/((3.141)(16)) \\ \\ h=0.637\text{ inches} \end{gathered}`

b) The height is 0.637 inches