You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building. At a certain instant the elevator is 500 feet away from you, and its distance from you is decreasing at a rate of 16 ft/sec. How fast is the elevator descending at that instant?

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

The rate of change for the distance between you and the elevator is given by:

Applying the chain rule:

Therefore, at x=300 and y = 500, dy/dt is:

The elevator is descending at 18.66 ft/s.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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