SOLUTION: The area of the base of a right circular cone is 400pi cm^2. If the slant height is 29 cm, find the height of the cone.

Algebra ->  Surface-area -> SOLUTION: The area of the base of a right circular cone is 400pi cm^2. If the slant height is 29 cm, find the height of the cone.      Log On


   

Question 1076967: The area of the base of a right circular cone is 400pi cm^2. If the slant height is 29 cm, find the height of the cone.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
pi%2Ar%5E2=400pi
r%5E2=400
r=20

y, the cone height
y%5E2%2B20%5E2=29%5E2
y=sqrt%2829%5E2-20%5E2%29
y=sqrt%28441%29
highlight%28y=21%29



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The radius, height, and slant height form a right triangle in this cone.