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Pearson Geometry Common Core, 2011

PG

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=π 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=π r^2 h

V= 3240π, r= 9

3240π=π( 9)^2 (h)

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Solve for h

Calculate power

3240π=81π h

.LHS /81π.=.RHS /81π.

3240/81=h

Rearrange equation

h=3240/81

Calculate quotient

h=40

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

Subchapter links

Lesson Check p.721

Practice and Problem-Solving Exercises p.721-724

Standardized Test Prep p.724

Mixed Review p.724