6. Suppose the radius of hemispherical container is 10 cm. It contains water and it is placed under the hot sun. Due to evaporation, the water level from the base, h cm, is decreasing at the rate of 0.05 cm s-1. Suppose that the area of the water surface, A cm2, is given by A = 1(20h – h?). Calculate the rate of decrease of the area of the water surface at - the instant h = 6.

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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6. Suppose the radius of hemispherical container is 10 cm. It contains water and it is placed
under the hot sun. Due to evaporation, the water level from the base, h cm, is decreasing
at the rate of 0.05 cm s-1. Suppose that the area of the water surface, A cm², is given
by A = n(20h – h?). Calculate the rate of decrease of the area of the water surface at
the instant h = 6.
Transcribed Image Text:6. Suppose the radius of hemispherical container is 10 cm. It contains water and it is placed under the hot sun. Due to evaporation, the water level from the base, h cm, is decreasing at the rate of 0.05 cm s-1. Suppose that the area of the water surface, A cm², is given by A = n(20h – h?). Calculate the rate of decrease of the area of the water surface at the instant h = 6.
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