Solution: What is the deep of the water in a hemispherical bowl?

Water is running into a hemispherical bowl having a radius of 10 cm at a constant rate of 3 cm^3/min. When the water x cm. deep, the water levels is rising at the rate of 0.0149 cm/min. What is the value of x?

What is the deep of the water in a hemispherical bowl?

Problem Statement: CE Board May 1995

Water is running into a hemispherical bowl having a radius of 10 cm at a constant rate of 3 cm3/min. When the water x cm. deep, the water levels is rising at the rate of 0.0149 cm/min. What is the value of x?

Problem Answer:

The deep of the water in a hemispherical bowl is 4 or 16 cm

Solution:

Online Questions and Answers in Differential Calculus (MAXIMA-MINIMA & TIME RATES)


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