h=12r=4

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.

2π⋅(radius)2+2π⋅(radius)⋅(height)

Substitute the values of the radius r=4 and height h=12 into the formula. Pi π is approximately equal to 3.14.

2(π)(4)2+2(π)(4)(12)

Raise 4 to the power of 2.

2π⋅16+2(π)(4)(12)

Multiply 16 by 2.

32π+2(π)(4)(12)

Multiply 4 by 2.

32π+8π⋅12

Multiply 12 by 8.

32π+96π

32π+96π

Add 32π and 96π.

128π

The result can be shown in multiple forms.

Exact Form:

128π

Decimal Form:

402.12385965…

Find the Surface Area cylinder (12)(4)