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Volume in Container Water

Calculus: Integrate functions and use calculus to solve problems.

1. A company which produces earthenware wants to make a water container which will hold at least 400 ml of water. The water container is modelled by rotating the area enclosed by the graph of y = e^0.5x and the lines x = 0 and x = 5, about the x axis. Will this container hold at least 400 mL of water? Working and reasoning must be shown. x is in cm.

2. Integrate cos (x) dx

3. A hemispherical bowl has an internal radius of 13 cm, and contains water to a maximum depth of 8 cm. Find the volume of water in the bowl.

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This solution shows how to use calculus to solve word problems, with calculations and answers in an attached PDF file.

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