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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

3. Volumes of Spheres

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Exercise 1 Page 443

Use the formula for the volume of a cone.

≈ 25.1 ft^3

Practice makes perfect

We want to find the volume of a cone.

To do so, we can use the formula for the volume of a cone. V= 13π r^2 h Here, r is the radius and h is the height of the cone. We are given that the height of the cone is 6 feet and the radius of the base is 2 feet. Let's substitute these values into the formula and calculate the volume.

V=1/3π r^2 h

r= 2, h= 6

V=1/3π ( 2)^2 ( 6)

▼

Simplify right-hand side

Calculate power

V=1/3π(4)(6)

Multiply

V=1/3π(24)

CommutativePropMult

Commutative Property of Multiplication

V=1/3(24π)

MoveRightFacToNumOne

1/b* a = a/b

V=24π/3

Calculate quotient

V=8π

Use a calculator

V=25.132741...

Round to 1 decimal place(s)

V≈ 25.1

The volume of the cone is about 25.1 cubic feet.

Subchapter links

Try It p.440-441

Self-Assessment for Concepts & Skills p.441

Self-Assessment for Problem Solving p.442

Review & Refresh p.443

Concepts, Skills, & Problem Solving p.443-444