Question: For the following problems, consider a pool shaped like the bottom half of a sphere, that is being filled at a rate of 25ft3min. The

For the following problems, consider a pool shaped like the bottom half of a sphere, that is being filled at a rate of 25ft3min. The radius of the pool is 10 ft .32. Find the rate at which the depth of the water is changing when the water has a depth of 5 ft .33. Find the rate at which the depth of the water is changing when the water has a depth of 1 ft .34. If the height is increasing at a rate of 1in.sec when the depth of the water is 2 ft , find the rate at which water is being pumped in.

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