# Find the Surface Area cylinder (7yd)(2yd)

h=7ydr=2yd
The surface area of a cylinder is equal to the sum of the areas of the bases each having an area of π⋅r2, plus the area of the side. The area of the side is equal to the area of a rectangle with length 2πr (the circumference of the base) times the height.
Substitute the values of the radius r=2 and height h=7 into the formula. Pi π is approximately equal to 3.14.
2(π)(2)2+2(π)(2)(7)
Simplify each term.
Multiply 2 by (2)2 by adding the exponents.
Move (2)2.
(2)2⋅2π+2(π)(2)(7)
Multiply (2)2 by 2.
Raise 2 to the power of 1.
(2)2⋅21π+2(π)(2)(7)
Use the power rule aman=am+n to combine exponents.
22+1π+2(π)(2)(7)
22+1π+2(π)(2)(7)
23π+2(π)(2)(7)
23π+2(π)(2)(7)
Raise 2 to the power of 3.
8π+2(π)(2)(7)
Multiply 2 by 2.
8π+4π⋅7
Multiply 7 by 4.
8π+28π
8π+28π