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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Chapter Review

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Exercise 8 Page 456

Use the formula for the volume of a cone.

41.9 cm^3

Practice makes perfect

The given solid is a cone.

We can calculate the volume of a cone with the radius r and height h using the following formula. V= 13π r^2 h We are given that the height of the cone is 10 centimeters and that the diameter of the base is 4 centimeters. Let's find the radius of the cone by dividing the diameter by 2. r=4/2= 2 Now we can substitute these values into the formula and calculate the volume.

V=1/3π r^2 h

r= 2, h= 10

V=1/3π ( 2)^2 ( 10)

▼

Simplify right-hand side

Calculate power

V=1/3π(4)(10)

Multiply

V=1/3π(40)

MoveRightFacToNumOne

1/b* a = a/b

V=40π/3

Use a calculator

V=41.887902...

Round to 1 decimal place(s)

V≈ 41.9

The volume of the cone is approximately 41.9 cubic centimeters.

Subchapter links

1 Volumes of Cylinders p.455

2 Volumes of Cones p.456

3 Volumes of Spheres p.456-457

4 Surface Areas and Volumes of Similar Solids p.457