SOLUTION: find the volume of the largest right circular cone that can be cut out a cube the edge of the which is 42cm.

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Question 367640: find the volume of the largest right circular cone that can be cut out a cube the edge of the which is 42cm.
Answer by amoresroy(361) About Me  (Show Source):
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find the volume of the largest right circular cone that can be cut out a cube the edge of the which is 42cm.
Volume = area of circle * height of cone * 1/3
(volume of cone is equal ti 1/3 of base times the helght, where base = area of circle. The area of circle = pi*diameter^2 divided by 4. The height of cone which is 42 is equal to the length of side of cube)
= pi*diameter^2/4 * height *1/3
= 3.1416*42*42/4*42*1/3
= 19,396 cm^3