SOLUTION: The circumcerence oc the base of a solid cone is 100πcm.If the sum of its slant height and the radius of its base is 175cm,what will be the slant height of the cone? Find it.

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Question 1087122: The circumcerence oc the base of a solid cone is 100πcm.If the sum of its slant height and the radius of its base is 175cm,what will be the slant height of the cone? Find it.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The circumcerence oc the base of a solid cone is 100πcm.
If the sum of its slant height and the radius of its base is 175cm, what will be the slant height of the cone?
Find it.
:
Find the radius using the circumference
2%2Api%2Ar = 100%2Api
divide both sides by pi
2r = 100
r = 100/2
r = 50 cm is the radius
:
"If the sum of its slant height and the radius of its base is 175cm"
r + s = 175
50 + s = 175
s = 125 is the slant height
:
h is the hypotenuse of a triangle formed by the radius and height
h = sqrt%28125%5E2+-+50%5E2%29
h = 85.92 cm is height