SOLUTION: The slant height of a right circular cone is 13cm and the height from the vertex to the center of the base is 12 cm. what is the volume of the cone? express your answer in terms of

Algebra ->  Volume -> SOLUTION: The slant height of a right circular cone is 13cm and the height from the vertex to the center of the base is 12 cm. what is the volume of the cone? express your answer in terms of      Log On


   

Question 1078971: The slant height of a right circular cone is 13cm and the height from the vertex to the center of the base is 12 cm. what is the volume of the cone? express your answer in terms of pi.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
r, radius of base

r%5E2%2B12%5E2=13%5E2
r=sqrt%28169-144%29
r=sqrt%2825%29
r=5

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volume:
%281%2F3%29%2A13%2Api%2A5%5E2
highlight%28%28325%2F3%29pi%29