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.

Respuesta :

The formula for the volume of a cylinder is

[tex]V=\pi r^2h[/tex]

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

[tex]a)h=\frac{V}{\pi r^2}[/tex]

The volume is 32 cubic inches

V = 32

The radius is 4 inches

r = 4

Use pi = 3.141

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

b) The height is 0.637 inches