Question: Problem 19: The following problem is based on a, true story. a) We have a problem: we can't seem to stop the water coming out


Problem 19: The following problem is based on a, true story. a) We have a problem: we can't seem to stop the water coming out of our sink. The water spills onto the ground, creating a circular puddle Whose radius grows at 3 centimeters a second. How much bigger is the puddle getting when the radius is 10 centimeters? b) (Adapted from OpenStax Calculus) It turns out the reason our sink won't stop leaking is because our water heater is broken! The water heater is a cylinder with a height and radius of 2 meters. We can't tell how fast the water is leaking, but we determine that the height is decreasing 0.1 meters per minute when the height of the water is 1 meter. We gure if the water is leaking at less than 1 meter per minute, we can probably try patching it and hold o' on calling emergency maintenance. What should we do
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