Differential Calculus-Time Rate Assignment

Question 1: a 3-meter long steel pipe has its upper end leaning against a vertical wall and lower end on level ground. The lower end moves away at a constant rate of 2cm/s. How fast is the pipe rotating when the lower end is 2 meters from the wall in rad/sec?

Question 2;An inverted conical tank is 40-feet in diameter at the base and 60-feet high. Water is drained from the tank at the rate of 36? ft3/sec. Compute the rate at which the radius of the water surface shrinking when its radius is 16-feet.

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