Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Chapter Review
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Exercise 22 Page 753

Use the formula for the volume of a cylinder.

24.5 ft^3

Practice makes perfect

The given solid is a cylinder.

To calculate the volume of a cylinder with radius of the base r and height h we can use the following formula. V=π r^2 h From the diagram, we know that the height of the cylinder is 5 ft, and that the diameter of the base is 2.5 ft. By dividing the diameter by 2, we get the radius of the base. r = 2.5/2 = 1.25 ft Let's substitute these values to find calculate V.
V=π r^2 h
V=π ( 1.25)^2 ( 5)
Simplify right-hand side
V=π( 1.5625)( 5)
V=24.54369...
V≈ 24.5
The volume of the given cylinder, to the nearest tenth, is 24.5 ft^3.