Respuesta :

The volume of the cylinder is

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

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

[tex]\begin{gathered} 30=3.14(1)^2h \\ 30=3.14h \end{gathered}[/tex]

Divide both sides by 3.14 to find h

[tex]\begin{gathered} \frac{30}{3.14}=\frac{3.14h}{3.14} \\ 9.55414=h \end{gathered}[/tex]

Then the height of the cylinder is 9.55414 inches