Find the Surface Area cone (8)(12)

Math
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)
Simplify each term.
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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.
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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)
Simplify by multiplying through.
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Apply the distributive property.
12π⋅12+12π(413)
Multiply.
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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)

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