h=8r=12

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=12 and height h=8 into the formula. Pi π is approximately equal to 3.14.

(π⋅12)(12+(12)2+(8)2)

Move 12 to the left of π.

12⋅π(12+(12)2+(8)2)

Raise 12 to the power of 2.

12π(12+144+(8)2)

Raise 8 to the power of 2.

12π(12+144+64)

Add 144 and 64.

12π(12+208)

Rewrite 208 as 42⋅13.

Factor 16 out of 208.

12π(12+16(13))

Rewrite 16 as 42.

12π(12+42⋅13)

12π(12+42⋅13)

Pull terms out from under the radical.

12π(12+413)

12π(12+413)

Apply the distributive property.

12π⋅12+12π(413)

Multiply.

Multiply 12 by 12.

144π+12π(413)

Multiply 4 by 12.

144π+48π13

144π+48π13

144π+48π13

The result can be shown in multiple forms.

Exact Form:

144π+48π13

Decimal Form:

996.09366527…

Find the Surface Area cone (8)(12)