The formula for the surface area of a cylinder is .

a.

Find the GCF of the and .

                      (Original function)

Use the Distributive Property to rewrite the formula by factoring out the greatest common factor of the two terms.

                         (Distributive property: )

b.

Find the surface area for a cylinder with radius and height using both formulas.

                          (Formula for surface area)

                     (Substitute and )

                          (Add: )

        (Multiply)

Therefore, the surface area is .

c.

Find formula for easily solved area of the surface.

Formula for surface area in part (b) is .

As it contains only multiplcation rather than squaring in part(a)

in this formula using to easily solved.

a. Surface area formula by using distributive property is .

b.The surface area is .

c. in this formula using to easily solved.