Solution Snowball Melts

Show transcribed image text In a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at which the diameter decreases when the diameter is 9 cm. Water is leaking out of an inverted conical tank at a rate of 9,000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4m. If the water level is rising at a rate of 20cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.) Boyle’s Law states that where a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C. where C is a constant. Suppose that at a certain instant the volume is 100cm2, the pressure is 120 , and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?

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