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Big Ideas Math: Modeling Real Life, Grade 8
BI
Big Ideas Math: Modeling Real Life, Grade 8 View details
3. Volumes of Spheres
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Exercise 10 Page 443

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

523.6in^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 5 inches. Therefore, we can substitute 5 for r in the above formula and simplify the right-hand side.

V=4/3Ï€ r^3
Substitute

r= 5

V=4/3Ï€ ( 5)^3
â–¼
Evaluate right-hand side
CalcPow

Calculate power

V=4/3Ï€ (125)
CommutativePropMult

Commutative Property of Multiplication

V=4/3(125)Ï€
MoveRightFacToNum

a/c* b = a* b/c

V=4 * 125/3Ï€
Multiply

Multiply

V=500/3Ï€
UseCalc

Use a calculator

V=523.598775...
RoundDec

Round to 1 decimal place(s)

V≈ 523.6

The volume of the sphere, correct to the nearest tenth, is 523.6 cubic inches.

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arrow_right Try It p.440-441
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Try It 2 (Page 440)
Try It 3 (Page 441)
Try It 4 (Page 441)
arrow_right Self-Assessment for Concepts & Skills p.441
Self-Assessment for Concepts & Skills 5 (Page 441)
Self-Assessment for Concepts & Skills 6 (Page 441)
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arrow_right Self-Assessment for Problem Solving p.442
Self-Assessment for Problem Solving 8 (Page 442)
Self-Assessment for Problem Solving 9 (Page 442)
arrow_right Review & Refresh p.443
Review & Refresh 1 (Page 443)
Review & Refresh 2 (Page 443)
Review & Refresh 3 (Page 443)
Review & Refresh 4 (Page 443)
Review & Refresh 5 (Page 443)
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arrow_right Concepts, Skills, & Problem Solving p.443-444
Concepts, Skills, & Problem Solving 7 (Page 443)
Concepts, Skills, & Problem Solving 8 (Page 443)
Concepts, Skills, & Problem Solving 9 (Page 443)
Concepts, Skills, & Problem Solving 10 (Page 443)
Concepts, Skills, & Problem Solving 11 (Page 443)
Concepts, Skills, & Problem Solving 12 (Page 443)
Concepts, Skills, & Problem Solving 13 (Page 443)
Concepts, Skills, & Problem Solving 14 (Page 443)
Concepts, Skills, & Problem Solving 15 (Page 443)
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Concepts, Skills, & Problem Solving 17 (Page 443)
Concepts, Skills, & Problem Solving 18 (Page 443)
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Concepts, Skills, & Problem Solving 22 (Page 444)
Concepts, Skills, & Problem Solving 23 (Page 444)
Concepts, Skills, & Problem Solving 24 (Page 444)
Concepts, Skills, & Problem Solving 25 (Page 444)
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