Exercise 53 Page 10

To find the volume of a cylinder, we use the following formula. V=π r^2hIn this formula, r is the radius of the cylinder's base and h is the cylinder's height. The area of a circle can be calculated with the expression π r^2. If we call this area B, we can substitute π r^2 with B in the volume formula for a cylinder. V= π r^2h ⇒ V= Bh We are given the volume V= 84πin.^3 and the height h= 7in. of a cylinder. By substituting these values into our equation, we will be able to use inverse operations to determine the value of B.

The area of B is 12π square inches.