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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 17 Page 603

Use the formula for the volume of a cone.

Approximately 398.2 m^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 told that the height of the cone is 9 meters. The radius of the base is 6.5 meters. Let's substitute these values into the formula and calculate the volume.

V=1/3π r^2 h

r= 6.5, h= 9

V=1/3π ( 6.5)^2 ( 9)

▼

Simplify right-hand side

Calculate power

V=1/3π(42.25)(9)

Multiply

V=1/3π(380.25)

CommutativePropMult

Commutative Property of Multiplication

V=1/3(380.25π)

MoveRightFacToNumOne

1/b* a = a/b

V=380.25π/3

Calculate quotient

V=126.75π

Use a calculator

V=398.196869...

Round to 1 decimal place(s)

V≈ 398.2

The volume of the cone is 398.2 cubic meters.

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