SOLUTION: A solid cone has a circular base of diameter 10cm and a total surface area of 285cm. Find its slant height

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Question 1179312: A solid cone has a circular base of diameter 10cm and a total surface area of 285cm. Find its slant height
Found 3 solutions by amarjeeth123, MathTherapy, greenestamps:
Answer by amarjeeth123(569) About Me  (Show Source):
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Diameter of cone=10cm
Radius of cone r=Diameter/2=10/2=5cm
Total surface area=285 cm
Surface area of cone=pi*r(r+l) where l is the slant height.
Plugging in the values we get,
pi*5(5+l)=285
5+l=9.0718
l=4.0718cm
The slant height is l=4.0718 cm
Answer=4.0718 cm

Answer by MathTherapy(10552) About Me  (Show Source):
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A solid cone has a circular base of diameter 10cm and a total surface area of 285cm. Find its slant height
Correct answer:

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


total surface area = area of base plus lateral surface area

285+=+%28pi%28r%5E2%29%29%2B%28pi%29%28r%29%28l%29

where l is the slant height.

285+=+25pi%2B%285pi%29%28l%29
l+=+%28285-25pi%29%2F%285pi%29 = 13.14366 to several decimal places.