Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
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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= 13Ï€ 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=1/3Ï€ r^2 h
V=1/3Ï€ ( 2)^2 ( 10)
â–¼
Simplify right-hand side
V=1/3Ï€(4)(10)
V=1/3Ï€(40)
V=40Ï€/3
V=41.887902...
V≈ 41.9

The volume of the cone is approximately 41.9 cubic centimeters.