h=14r=6

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=6 and height h=14 into the formula. Pi π is approximately equal to 3.14.

2(π)(6)2+2(π)(6)(14)

Raise 6 to the power of 2.

2π⋅36+2(π)(6)(14)

Multiply 36 by 2.

72π+2(π)(6)(14)

Multiply 6 by 2.

72π+12π⋅14

Multiply 14 by 12.

72π+168π

72π+168π

Add 72π and 168π.

240π

The result can be shown in multiple forms.

Exact Form:

240π

Decimal Form:

753.98223686…

Find the Surface Area cylinder (14)(6)