Coffee is poured at a uniform rate of 20 cm3/s into a cupwhose inside is shaped like a

Chapter 3, Problem 47

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Coffee is poured at a uniform rate of \(20 \mathrm{~cm}^{3} / \mathrm{s}\) into a cup whose inside is shaped like a truncated cone (see the accompanying figure). If the upper and lower radii of the cup are \(4 cm\) and \(2 cm\) and the height of the cup is \(6 cm\), how fast will the coffee level be rising when the coffee is halfway up? [Hint: Extend the cup downward to form a cone.]

Equation Transcription:

Text Transcription:

20 cm^3/s

4 cm

2 cm

6 cm

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