Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
4. Volumes of Prisms and Cylinders
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Exercise 23 Page 722

Use the formula for the volume of a cylinder.

40cm

Practice makes perfect

We are given the following cylinder and we want to find the value of its height.

The volume of a cylinder with the radius r and height h can be calculated by the following formula. V=Ï€ r^2 h Since we are given the volume and radius of the cylinder, we can substitute them into the formula and calculate its height.

V=Ï€ r^2 h
3240Ï€=Ï€( 9)^2 (h)
â–¼
Solve for h
3240Ï€=81Ï€ h
3240/81=h
h=3240/81
h=40

Therefore, the height of the given cylinder is 40cm.