SOLUTION: What is the slant height of a right circular cone whose lateral surface area is 66π units2 and whose radius is 6 units?

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Question 253471: What is the slant height of a right circular cone whose lateral surface area is 66π units2 and whose radius is 6 units?
Found 2 solutions by drk, Greenfinch:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The lateral surface area has formula:
(i) A+=+PI%2Ar%5E2+%2B+pi%2Ar%2AL
we know A = 66pi, r = 6. So,
(ii) 66pi+=+PI%2A6%5E2+%2B+pi%2A6%2AL
subtracting 36pi, we get
(iii) 30pi = 6pi(L)}}}
dividing by 6, we get
(iv) L = 5 units.

Answer by Greenfinch(383) About Me  (Show Source):
You can put this solution on YOUR website!
Lateral SA is = pi x radius x slant height so
66 x pi = pi x 6 x slant height
so slant height = 11