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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

5. Surface Area of Cones

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Exercise 36 Page 638

The volume of a sphere is four thirds the product of π and the cube of the radius.

239.0cm^3

Practice makes perfect

Consider the given sphere.

The volume of a sphere is four thirds the product of π and the cube of the radius. V=4/3π r^3 In the diagram we can see that the diameter is 7.7 centimeters. Therefore, the radius is 7.7÷ 2= 3.85 centimeters. We can substitute this value for r in the above formula and evaluate the right-hand side.

V=4/3π r^3

r= 3.85

V=4/3π ( 3.85)^3

▼

Evaluate right-hand side

Calculate power

V=4/3π (57.066625)

CommutativePropMult

Commutative Property of Multiplication

V=4/3(57.066625)π

MoveRightFacToNum

a/c* b = a* b/c

V=4(57.066625)/3π

Multiply

V=228.2665/3π

Use a calculator

V=239.040119...

Round to 1 decimal place(s)

V≈ 239.0

The volume of the sphere, correct to the nearest tenth, is 239.0 cubic centimeters.

Subchapter links

Guided Practice p.634

Independent Practice p.635-636

H.O.T. Problems p.636

Extra Practice p.637

Standardized Test Practice p.638

Common Core Review p.638