Exercise 41 Page 67

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=π r^2h

DivEqn

.LHS /π r^2.=.RHS /π r^2.

V/π r^2=π r^2 h/π r^2

CancelCommonFac

Cancel out common factors

V/π r^2=π r^2h/π r^2

SimpQuot

Simplify quotient

V/π r^2=h

RearrangeEqn

Rearrange equation

h=V/π r^2

This corresponds to option H. Note that in this case, we were asked to solve for the height h, given the formula for the volume of a cylinder. A solution of h= Vπ r^2 means that we have solved for the height of the given cylinder.