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

3. Volumes of Spheres

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Exercise 17 Page 443

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

1.5 centimeters

Practice makes perfect

The volume of a sphere is four thirds the product of π and the cube of the radius. V=4/3π r^3 We want to find the radius of a sphere whose volume is 4.5π cubic centimeters. Therefore, we can substitute 4.5π for V in the above formula and solve it for r.

V=4/3π r^3

Substitute

V= 4.5π

4.5π=4/3π r^3

▼

Evaluate right-hand side

MoveRightFacToNum

a/c* b = a* b/c

4.5π=4 π r^3/3

MultEqn

LHS * 3=RHS* 3

3* 4.5π = 3 * 4 π r^3/3