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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

4. Surface Areas and Volumes of Similar Solids

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Exercise 2 Page 450

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

364.53π ≈ 381.7 cubic feet

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 4.5feet. Therefore, we can substitute 4.5 for r in the above formula and simplify the right-hand side.

V=4/3π r^3

r= 4.5

V=4/3π ( 4.5)^3

▼

Evaluate right-hand side

Calculate power

V=4/3π (91.125)

CommutativePropMult

Commutative Property of Multiplication

V=4/3(91.125)π

MoveRightFacToNum

a/c* b = a* b/c

V=364.5/3π

Use a calculator

V=381.703507...

Round to 1 decimal place(s)

V≈ 381.7

The volume of the sphere is 364.53π cubic feet or about 381.7 cubic feet.

Subchapter links

Try It p.446-448

Self-Assessment for Concepts & Skills p.448

Self-Assessment for Problem Solving p.449

Review & Refresh p.450