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# Solved: Water-level changes A hemispherical tank with a

ISBN: 9780321947345 167

## Solution for problem 83 Chapter 12

Calculus: Early Transcendentals | 2nd Edition

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Calculus: Early Transcendentals | 2nd Edition

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Problem 83

Water-level changes A hemispherical tank with a radius of 1.50 m is filled with water to a depth of 1.00 m. Water is released from the tank and the water level drops by 0.05 m (from 1.00 m to 0.95 m). a. Approximate the change in the volume of water in the tank. The volume of a spherical cap is V = ph213r - h2>3, where r is the radius of the sphere and h is the thickness of the cap (in this case, the depth of the water). b. Approximate the change in the surface area of the water in the tank. 1.5 m 1 m

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Solved: Water-level changes A hemispherical tank with a