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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

3. Volume of Spheres

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Exercise 1 Page 608

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

about 4188.8ft^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 radius is 10ft. Therefore, we can substitute 10 for r in the above formula and simplify the right-hand side.

V=4/3π r^3

r= 10

V=4/3π ( 10)^3

▼

Evaluate right-hand side

Calculate power

V=4/3π (1000)

CommutativePropMult

Commutative Property of Multiplication

V=4/3(1000)π

MoveRightFacToNum

a/c* b = a* b/c

V=4(1000)/3π

Multiply

V=4000/3π

Use a calculator

V=4188.790204...

Round to 1 decimal place(s)

V≈ 4188.8

The volume of the sphere, rounded to the nearest tenth, is 4188.8 cubic feet.

Subchapter links

Guided Practice p.608

Independent Practice p.609-610

H.O.T. Problems p.610

Standardized Test Practice p.610-612

Extra Practice p.611

Common Core Review p.612