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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

2. Volumes of Cones

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Exercise 8 Page 437

Use the formula for the volume of a cone.

15π cubic units

Practice makes perfect

We want to find the volume of a cone whose height is 9 units and its base area is 5π square units. To do so, we can use the formula for the volume of a cone. V= 13B h Here, B is the base area and h is the height of the cone. Let's substitute B= 5π and h= 9 into the formula and calculate the volume.

V=1/3B h

B= 5π, h= 9

V=1/3( 5π)( 9)

Multiply

V=1/3(45π)

MoveRightFacToNumOne

1/b* a = a/b

V=45π/3

Calculate quotient

V=15π

The volume of the cone is 15π cubic units.

Subchapter links

Try It p.434-435

Self-Assessment for Concepts & Skills p.435

Self-Assessment for Problem Solving p.436

Review & Refresh p.437

Concepts, Skills, & Problem Solving p.437-438