math question?

(15 x 2)3.14 x 34 = 3,202.8sq"

Think about it this way cut the cylinder and flatten it out
You now have a rectangle. One of the sides will be the perimeter of the circle. To calculate that is is dxPi. Now it is just the area of a rectangle.

The guy below me is right you should include the area of the top and bottom.

2(15^2 x 3.14)= 1,413
1,413 +3,202.8 = 4,615.8sq"

Assuming the question also includes the area of the two ends of the cylinder.

Area of one end of the cylinder = pi * r^2 = pi * 15^2 = 225 * pi
Circumference of the circle = 2 * pi * r = 2 * pi * 15 = 30 * pi

Total surface area = area of two ends + area of the side
Total Surface Area = 2 * (225 * pi) + (30 * pi * 34) = 1470 * pi
Which is approximately 4615.8 in.

6.2832rh or 6.2832*radius*height

Well the surface area of a cylinder is defined as 2*pi*radius*height. Since you have r and h, you can substitute right away and find it. 2*pi*15 in*34 in. Your answer should be 1020pi square inches, or if you need an approximation, 3202.8 square inches.