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A reservoir is in the shape of frustum of a right circular cone. It is 8 meters across at the top and 4 meters across at the bottom. It is 6 meters deep.

What is its capacity.



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See diagram
Capacity is same as the volume of frustum.

Volume =  average cross-section area  *  height
                  =  1/2 ( area at bottom + area at top) * height
             = 1/2 π (4² + 8²) * 4  =  502.65 meter³

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