Question

14. Find the height of a cylinder with a volume of30 in3 and a radius of 1 in. Use 3.14 for .

Answer 1

The volume of the cylinder is

`V=\pi r^2h`

r is the radius

h is the height

Since the volume is 30 in^3

Then V = 30

Since the radius is 1 in

Then r = 1

The value of Pi is 3.14

Substitute them in the rule above to find h

`\begin{gathered} 30=3.14(1)^2h \\ 30=3.14h \end{gathered}`

Divide both sides by 3.14 to find h

`\begin{gathered} (30)/(3.14)=(3.14h)/(3.14) \\ 9.55414=h \end{gathered}`

Then the height of the cylinder is 9.55414 inches