body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math: Modeling Real Life, Grade 8

BI

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

3. Volumes of Spheres

Continue to next subchapter

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=4/3π r^3

r= 5

V=4/3π ( 5)^3

▼

Evaluate right-hand side

Calculate power

V=4/3π (125)

CommutativePropMult

Commutative Property of Multiplication

V=4/3(125)π

MoveRightFacToNum

a/c* b = a* b/c

V=4 * 125/3π

Multiply

V=500/3π

Use a calculator

V=523.598775...

Round to 1 decimal place(s)

V≈ 523.6

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

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