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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 1 Page 443

Use the formula for the volume of a cone.

≈ 25.1 ft^3

Practice makes perfect

We want to find the volume of a cone.

To do so, we can use the formula for the volume of a cone. V= 13Ï€ r^2 h Here, r is the radius and h is the height of the cone. We are given that the height of the cone is 6 feet and the radius of the base is 2 feet. Let's substitute these values into the formula and calculate the volume.

V=1/3Ï€ r^2 h
SubstituteII

r= 2, h= 6

V=1/3Ï€ ( 2)^2 ( 6)
â–¼
Simplify right-hand side
CalcPow

Calculate power

V=1/3Ï€(4)(6)
Multiply

Multiply

V=1/3Ï€(24)
CommutativePropMult

Commutative Property of Multiplication

V=1/3(24Ï€)
MoveRightFacToNumOne

1/b* a = a/b

V=24Ï€/3
CalcQuot

Calculate quotient

V=8Ï€
UseCalc

Use a calculator

V=25.132741...
RoundDec

Round to 1 decimal place(s)

V≈ 25.1

The volume of the cone is about 25.1 cubic feet.

Subchapter links expand_more
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)
Concepts, Skills, & Problem Solving 16 (Page 443)
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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