h=75r=12

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=12 and height h=75 into the formula. Pi π is approximately equal to 3.14.

2(π)(12)2+2(π)(12)(75)

Raise 12 to the power of 2.

2π⋅144+2(π)(12)(75)

Multiply 144 by 2.

288π+2(π)(12)(75)

Multiply 12 by 2.

288π+24π⋅75

Multiply 75 by 24.

288π+1800π

288π+1800π

Add 288π and 1800π.

2088π

The result can be shown in multiple forms.

Exact Form:

2088π

Decimal Form:

6559.64546069…

Find the Surface Area cylinder (75)(12)