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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Chapter Review

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Exercise 12 Page 456

Use the formula for the volume of a sphere.

7238.2ft^3

Practice makes perfect

The given solid is a sphere.

We can use the formula for the volume of a sphere to calculate the volume. V=4/3π r^3 We know that the radius is 12 feet. Let's substitute this value into the formula!

V=4/3π r^3

r= 12

V=4/3π ( 12)^3

▼

Evaluate right-hand side

Calculate power

V=4/3π (1728)

MoveRightFacToNum

a/c* b = a* b/c

V=6912/3π

Calculate quotient

V=2304π

Use a calculator

V=7238.229473...

Round to 1 decimal place(s)

V≈ 7238.2

The volume of the sphere is approximately 7238.2 cubic feet.

Subchapter links

1 Volumes of Cylinders p.455

2 Volumes of Cones p.456

3 Volumes of Spheres p.456-457

4 Surface Areas and Volumes of Similar Solids p.457