How rapidly is radius of the spill increasing

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Reference no: EM131012952

1. A 16 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how fast will the foot be moving away from the wall when the top is 11 feet above the ground?

The foot will be moving at ft/s.?

2. Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 5.5 mi²/hr. How rapidly is radius of the spill increasing when the area is 11 mi²?

3. A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 9 cm. (Note the answer is a positive number).

4. Water is leaking out of an inverted conical tank at a rate of 0.0112 m³/min. At the same time water is being pumped into the tank at a constant rate. The tank has height 12 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 0.25 m/min when the height of the water is 1 meters, find the rate at which water is being pumped into the tank.

Reference no: EM131012952

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