SOLUTION: A Dutch windmill in the shape of the frustum of a right circular cone is 17 meters high. The diameters at the bottom and the top are 24 meters and 15 meters, the inner diameters

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Question 1194400: A Dutch windmill in the shape of the frustum of a right circular cone is 17 meters
high. The diameters at the bottom and the top are 24 meters and 15 meters, the
inner diameters 18 meters and 9 meters. How many cubic meters of stone were
required to build it?
Answer by ikleyn(52776) About Me  (Show Source):
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A Dutch windmill in the shape of the frustum of a right circular cone is 17 meters
high. The diameters at the bottom and the top are 24 meters and 15 meters, the
inner diameters 18 meters and 9 meters. How many cubic meters of stone were
required to build it?
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Use the formula for the volume of a conical frustum

    V = %281%2F3%29%2Ah%2A%28A%5B1%5D%2BA%5B2%5D%2Bsqrt%28A%5B1%5D%2AA%5B2%5D%29%29,


where h is the height,  A%5B1%5D  and  A%5B2%5D  are the base areas

(see this source https://mathworld.wolfram.com/ConicalFrustum.html ) .


    Using the formula, calculate the volume of the larger frustum;

    calculate the volume of the smaller frustum, which represent the empty part;

    after that, take the difference of these volumes, which will provide your answer.


From the problem description, you have all necessary data to complete calculations on your own.

Solved.