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A conical cup has dimensions as shown in the diagram of its cross-section below. The cup can hold a maximum volume V when filled

A conical cup has dimensions as shown in the diagram of its cross-section below. The cup can hold a maximum volume V when filled to its full depth H. Find an expression for the depth h to which you have to fill the cup so that it contains a volume of liquid equal to V/2. Your expression for h should only depend on the dimensions of the cup. D H

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