Find the Surface Area cone (7)(14)

Math
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)
Simplify each term.
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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.
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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)
Simplify by multiplying through.
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Apply the distributive property.
14π⋅14+14π(75)
Multiply.
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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)

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