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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Volumes of Prisms and Cylinders

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Exercise 19 Page 835

Use the formula for the volume of a cylinder.

2686.1 mm^3

Practice makes perfect

The given solid is a cylinder.

The volume of a cylinder with the radius r and height h can be calculated by the following formula. V=π r^2 h By the Cavalieri's Principle, the formula still holds true for oblique cylinders. 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= 7.5, h= 15.2

V=π ( 7.5)^2 ( 15.2)

▼

Simplify right-hand side

Calculate power

V=π( 56.25)( 15.2)

Multiply

V=855π

Use a calculator

V=2686.0617188...

Round to 1 decimal place(s)

V≈ 2686.1

The approximate volume of the given cylinder is 2686.1 mm^3.

Subchapter links

Exercises p.834-838