SOLUTION: Find the surface area of a cone with a radius of 6 and a height of 12 to the nearest whole number.

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Question 1159642: Find the surface area of a cone with a radius of 6 and a height of 12 to the nearest whole number.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Total surface area of a cone:
A+=+L+%2B+B
->+L is lateral surface area of a cone:
L+=+pi%2Ars.......s+ is slant height->s=sqrt%28r%5E2+%2B+h%5E2%29
L+=+pi%2Ar%2Asqrt%28r%5E2+%2B+h%5E2%29
+B=+pi%2Ar%5E2 is area of a base
then
A=+pi%2Ar%2Asqrt%28r%5E2+%2B+h%5E2%29+%2B+pi%2Ar%5E2
A=+pi%2A6%2Asqrt%286%5E2+%2B+12%5E2%29+%2B+pi%2A6%5E2
A=+pi%2A6%2Asqrt%2836%2B+144%29+%2B+pi%2A36
A=+pi%2A6%2A13.4+%2B+pi%2A36
A=+365.68138487785194
A=+366


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Find the surface area of a cone with a radius of 6 and a height of 12 to the nearest whole number.
Area of circular base of cone + Lateral Surface Area of cone =