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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

1. Volumes of Cylinders

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Exercise 11 Page 431

Use the formula for the volume of a cylinder.

486π cubic feet or 1526.8 cubic feet

Practice makes perfect

We are given the following cylinder and we want to find the value of 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 the radius and height of the cylinder, we can substitute them into the formula and calculate its volume.

V=π r^2 h

r= 9, h= 6

V=π ( 9)^2 ( 6)

▼

Solve for V

Calculate power

V=π (81)(6)

Multiply

V=486π

π= 3.141592...

V=486( 3.141592...)

Multiply

V=1562.814029...

Round to 1 decimal place(s)

V ≈ 1526.8

Therefore, the volume of the given cylinder is 486π cubic feet or about 1526.8 cubic feet.

Subchapter links

Try It p.428-429

Self-Assessment for Concepts & Skills p.429

Self-Assessment for Problem Solving p.430

Review & Refresh p.431

Concepts, Skills, & Problem Solving p.431-432