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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

2. Volume of Cones

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Exercise 16 Page 603

Use the formula for the volume of a cone.

Approximately 284.8 ft^3

Practice makes perfect

Consider the given cone.

To find the volume, we can use the formula for the volume of a cone. V= 13π r^2 h Here, r is the radius and h is the height of the cone. We are given that the height of the cone is 17 feet. The radius of the base is 4 feet. Let's substitute these values into the formula and calculate the volume.

V=1/3π r^2 h

r= 4, h= 17

V=1/3π ( 4)^2 ( 17)

▼

Simplify right-hand side

Calculate power

V=1/3π(16)(17)

Multiply

V=1/3π(272)

CommutativePropMult

Commutative Property of Multiplication

V=1/3(272π)

MoveRightFacToNumOne

1/b* a = a/b

V=272π/3

Use a calculator

V=284.837734...

Round to 1 decimal place(s)

V≈ 284.8

The volume of the cone is 284.8 cubic feet.

Subchapter links

Guided Practice p.600

Independent Practice p.601-602

H.O.T. Problems p.602

Standardized Test Practice p.602-604

Extra Practice p.603

Common Core Review p.604