h=72r=30

The surface area of a cone is equal to the area of the base plus the area of the cone.

(π⋅(radius))⋅((radius)+(radius)2+(height)2)

Substitute the values of the length r=30 and height h=72 into the formula. Pi π is approximately equal to 3.14.

(π⋅30)(30+(30)2+(72)2)

Move 30 to the left of π.

30⋅π(30+(30)2+(72)2)

Raise 30 to the power of 2.

30π(30+900+(72)2)

Raise 72 to the power of 2.

30π(30+900+5184)

Add 900 and 5184.

30π(30+6084)

Rewrite 6084 as 782.

30π(30+782)

Pull terms out from under the radical, assuming positive real numbers.

30π(30+78)

30π(30+78)

Add 30 and 78.

30π⋅108

Multiply 108 by 30.

3240π

3240π

The result can be shown in multiple forms.

Exact Form:

3240π

Decimal Form:

10178.76019763…

Find the Surface Area cone (72)(30)