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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 15 Page 721

Use the formula for the volume of a cylinder.

40π cm^3 or 125.7 cm^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 In this case, we are given the diameter and the height of the cylinder, we know that the radius of the cylinder is the half of the diameter. r = diameter/2 ⇒ r=4/2=2 Here, we find that r=2 cm and we are given the height h=10 cm. Now we can substitute them into the formula and calculate V.

V=π r^2 h

r= 2, h= 10

V=π( 2)^2 ( 10)

▼

Evaluate right-hand side

Calculate power

V=π(4)(10)

Multiply

V=40π

Use a calculator

V=125.663706...

Round to 1 decimal place(s)

V≈ 125.7

The approximate volume of the given cylinder is 40π cm^3 or 125.7 cm^3.

Subchapter links

Lesson Check p.721

Practice and Problem-Solving Exercises p.721-724

Standardized Test Prep p.724

Mixed Review p.724