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Using all your Calculus knowledge, develop and justify, a formula for the rate of change of the heigh of a liquid in the cup, give:

- The machine pours the liquid at a constant rate - ie. flow rate is constant

- The shape of the cup is a "frustum", as given in the diagram

- No liquid is spilt during pouring

No values are given.

top radius = b

bottom radius = a

liquid radius = r

liquid height = h

frustum height = H

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# I Volume of a Frustum

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