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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 6 Page 834

Use the formula for the volume of a cylinder.

1357.2 m^3

Practice makes perfect

The given solid is a cylinder.

given 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 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= 6, h= 12

V=π ( 6)^2 ( 12)

▼

Simplify right-hand side

Calculate power

V=π( 36)(12)

Multiply

V=432π

Use a calculator

V=1357.168026...

Round to 1 decimal place(s)

V≈ 1357.2

The approximate volume of the given cylinder is 1357.2 m^3.

Subchapter links

Exercises p.834-838