Question

question B

A cup is in the shape of an upside-down right circular cone. The height of the cup is 5 cm and the radius of the circular base is 2 cm. The cup is filled with water. The image below may help. a) Using diferentials, approximate the decrease in the heightof the water in the cup if 0.02 cubic centimeters of water Evapora b) The owner of the cup accidentally pours hal hat the water no longer entirely fills the cup. If 0.5% of the water now evaporates, by approximately what proportion will the height of the water drop? water on the floor so Xi

Answer 1

let height and radius of water cone at an instance is h and r respectively. Find relation between h and r by using similler triangle criteria and find volume of water in terms of h then differentiate v with respect to h

use
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where $\Delta v$ is change in volume and $\Delta r$ is change in radius

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