Water is being poured into a hemispherical bowl of radius 3 inch at the rate of 1 inch^3/s. How fast is the water level rising when the water is 1 inch deep ?
1 Answer
Mar 23, 2018
Explanation:
When the water level is one inch deep, its upper surface is a circle whose radius
Thus the cross sectional area of the surface is
In a small time
Thus
Thus, the rate at which height is increasing is