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Big Ideas Math: Modeling Real Life, Grade 8

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Big Ideas Math: Modeling Real Life, Grade 8 View details

3. Volumes of Spheres

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Exercise 8 Page 443

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

2304π cubic units

Practice makes perfect

The volume of a sphere is four thirds the product of π and the cube of the radius. V=4/3π r^3 We want to find the volume of a sphere whose radius is 12 units. Therefore, we can substitute 12 for r in the above formula and simplify the right-hand side.

V=4/3π r^3

r= 12

V=4/3π ( 12)^3

Calculate power

V=4/3π (1728)

CommutativePropMult

Commutative Property of Multiplication

V=4/3(1728)π

MoveRightFacToNum

a/c* b = a* b/c

V=4 * 1728/3π

Multiply

V=6912/3π

Calculate quotient

V=2304 π

The volume of the sphere is 2304π cubic units.

Subchapter links

Try It p.440-441

Self-Assessment for Concepts & Skills p.441

Self-Assessment for Problem Solving p.442

Review & Refresh p.443

Concepts, Skills, & Problem Solving p.443-444