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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Practice Test

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Exercise 2 Page 458

Use the formula for the volume of a cone.

4.5π ≈ 14.1 cm^3

The given solid is a cone.

To calculate the volume of a cone, we can use the known formula where r is the radius of the base and h is the height of the cone. V= 13π r^2 h Looking at the diagram, we know that the diameter of the cone's base is 3 centimeters. We get the radius of the base by dividing by 2. r=3/2= 1.5cm The height of the cone equals 6 centimeters. We can calculate V by substituting r with 1.5 and h with 6 into the formula.

V=1/3π r^2 h

r= 1.5, h= 6

V=1/3π ( 1.5)^2 ( 6)

▼

Simplify right-hand side

Calculate power

V=1/3π(2.25)(6)

Multiply

V=1/3π(13.5)

CommutativePropMult

Commutative Property of Multiplication

V=1/3(13.5)π

MoveRightFacToNumOne

1/b* a = a/b

V=13.5/3π

Calculate quotient

V=4.5π

Use a calculator

V=14.137166...

Round to 1 decimal place(s)

V≈ 14.1

The exact volume of the cone is 4.5π cm^3. The volume rounded to the nearest tenth is 14.1 cm^3.

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