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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 14 Page 721

Use the formula for the volume of a cylinder.

288π in^3 or 904.8 in^3

Practice makes perfect

We are given the following cylinder, and we want to find its volume.

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 both the radius and height of the cylinder, we can substitute them into the formula and calculate V.

V=π r^2 h

r= 6, h= 8

V=π ( 6)^2 ( 8)

▼

Evaluate right-hand side

Calculate power

V=π(36)(8)

Multiply

V=288π

Use a calculator

V=904.778684...

Round to 1 decimal place(s)

V≈ 904.8

The approximate volume of the given cylinder is 288π in^3 or 904.8 in^3.

Subchapter links

Lesson Check p.721

Practice and Problem-Solving Exercises p.721-724

Standardized Test Prep p.724

Mixed Review p.724