h=7r=14

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=14 and height h=7 into the formula. Pi π is approximately equal to 3.14.

(π⋅14)(14+(14)2+(7)2)

Move 14 to the left of π.

14⋅π(14+(14)2+(7)2)

Raise 14 to the power of 2.

14π(14+196+(7)2)

Raise 7 to the power of 2.

14π(14+196+49)

Add 196 and 49.

14π(14+245)

Rewrite 245 as 72⋅5.

Factor 49 out of 245.

14π(14+49(5))

Rewrite 49 as 72.

14π(14+72⋅5)

14π(14+72⋅5)

Pull terms out from under the radical.

14π(14+75)

14π(14+75)

Apply the distributive property.

14π⋅14+14π(75)

Multiply.

Multiply 14 by 14.

196π+14π(75)

Multiply 7 by 14.

196π+98π5

196π+98π5

196π+98π5

The result can be shown in multiple forms.

Exact Form:

196π+98π5

Decimal Form:

1304.18400374…

Find the Surface Area cone (7)(14)