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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

Cumulative Standards Review

Exercise 31 Page 230

Use Properties of Equality to isolate h on one side of the equation.

h=3V/π r^2

Practice makes perfect

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

V=1/3π r^2 h

LHS * 3=RHS* 3

3V=π r^2 h

.LHS /π.=.RHS /π.

3V/π=r^2 h

.LHS /r^2.=.RHS /r^2.

3V/π r^2=h

Rearrange equation

h=3V/π r^2

Note that in this case, we were asked to solve for the height h, given the formula for the volume of a cone. A solution of h= 3Vπ r^2 means that we have solved for the height of the given cone.