A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.

What is the surface area of the figure? Express the answer in terms of π.

96 + 64π cm2

96 + 80π cm2

96 + 112π cm2

96 + 128π cm2

The surface are of a cylinder is SA = 2πr2 + 2πrh where:r = radiush = height This formula comes from adding the areas of the surfaces of the cylinder. It has two flat circular faces and a rounded face. If we cut the cylinder from the circular face symmetrically, the surface area for one piece will be SA = 2[ (πr2) / 2] + (2πr/2) h + 2rh We will have 2-half flat circular faces, a flat rectangular surface, and half of the rounded surface. Simplify the SA formula. SA = πr2 + πrh + 2rhSA = r (πr + πh + 2h) Substitute the values into this formula. SA = 3 (3π + 8π + (2*8)) SA = 3 (11π + 16) SA = 33π + 48SA = 151.67 cm2 Since we have 2 pieces, multiply this result by 2. 2 (151.67 cm2) = 303.34 cm2. The total area is 303.34 cm2.