Consider a pool shaped like the bottom half of a sphere, that is being filled. The...

   

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Consider a pool shaped like the bottom half of a sphere, that is being filled. The radius of the pool is 10 ft. The formula for the volume of a partial hemisphere is V = h (3r + h) where h is the height of the water and r is the radius of the water. If the height is increasing at a rate of 1 in/s when the depth of the water is 5 ft, find the rate (in ft/min) at which water is being pumped in. ft/min Consider a pool shaped like the bottom half of a sphere, that is being filled. The radius of the pool is 10 ft. The formula for the volume of a partial hemisphere is V = h (3r + h) where h is the height of the water and r is the radius of the water. If the height is increasing at a rate of 1 in/s when the depth of the water is 5 ft, find the rate (in ft/min) at which water is being pumped in. ft/min