SOLUTION: Hi! My question is "A cone is inscribed in a pyramid whose square base has sides of length 8. The height of the cone is 6. Find the volume of the cone." Thanks for helping!

Algebra ->  Bodies-in-space -> SOLUTION: Hi! My question is "A cone is inscribed in a pyramid whose square base has sides of length 8. The height of the cone is 6. Find the volume of the cone." Thanks for helping!      Log On


   

Question 1134796: Hi!
My question is "A cone is inscribed in a pyramid whose square base has sides of length 8. The height of the cone is 6. Find the volume of the cone."
Thanks for helping!
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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From the condition, your cone has the base radius 4 (= 8/2) units and the height of 6 units.


Now apply the formula for the cone volume  V = %281%2F3%29%2Api%2Ar%5E2%2Ah = %281%2F3%29%2A3.14%2A4%5E2%2A6 = 100.48 cubic units.     ANSWER

Solved.