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Question: 6. Cassius shapes a piece of clay into a cylinder of length L and radius r. He rolls the clay, ma…

by | Nov 28, 2023 | questions


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Question: 6. Cassius shapes a piece of clay into a cylinder of length L and radius r. He rolls the clay, ma...

Show transcribed image text 6. Cassius shapes a piece of clay into a cylinder of length L and radius r. He rolls the clay, maintaining the cylindrical shape so that the length L increases at a rate of 0.1 cm/sec. (a) Find the rate at which the radius is changing when r 1 cm and 5 cm. (b) At what rate is the lateral surface area of the cylinder changing then?

6. Cassius shapes a piece of clay into a cylinder of length L and radius r. He rolls the clay, maintaining the cylindrical shape so that the length L increases at a rate of 0.1 cm/sec. (a) Find the rate at which the radius is changing when r 1 cm and 5 cm. (b) At what rate is the lateral surface area of the cylinder changing then?

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