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McGraw Hill Integrated II, 2012 View details

5. Volumes of Pyramids and Cones

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Exercise 23 Page 845

Use the formula for the volume of a cone.

Approximately 234.6 cubic centimeters

Practice makes perfect

A paper cone is h= 14 centimeters high with a base diameter of 8 centimeters. This tells us that the radius of the cone is r= 82= 4 centimeters.

We are asked how many cubic centimeters of roasted peanuts will completely fill the paper cone. To do this, let's find the volume of the paper cone using the formula for the volume of a cone. We will also round the answer to the nearest tenth.

V=1/3π r^2 h

▼

Substitute values and evaluate

SubstituteII

h= 14, r= 4

V=1/3π( 4)^2( 14)

CalcPowProd

Calculate power and product

V=1/3* 224π

MoveRightFacToNumOne

1/b* a = a/b

V=224π/3

π ≈ 3.1416

V≈224( 3.1416)/3

Multiply

Multiply & Use a calculator

V≈703.7184/3

CalcQuot

Calculate quotient

V≈ 234.5728

RoundDec

Round to 1 decimal place(s)

V≈ 234.6

Therefore, the volume of the paper cone is about 234.6 cubic centimeters. This tells us that approximately 234.6 cubic centimeters of roasted peanuts will completely fill the paper cone.

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Exercises p.844-847

Exercise 23 Page 845

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