Exercise 39 Page 113

To solve the given formula for h, we will use the Properties of Equality to apply inverse operations on the formula. Remember, only like terms can be combined.

V=1/3π r^2h

MultEqn

LHS * 3=RHS* 3

3V=π r^2h

DivEqn

.LHS /π r^2.=.RHS /π r^2.

3V/π r^2=π r^2h/π r^2

CancelCommonFac

Cancel out common factors

3V/π r^2=π r^2h/π r^2

SimpQuot

Simplify quotient

3V/π r^2=h

RearrangeEqn

Rearrange equation

h=3V/π r^2