Related Rates: (a) A spaceship leaves it launch pad at a speed of 8 miles per min. Spectators stand 4 miles away from the launch pad. i. Do you expect the distance between the launch pad and the spaceship to be increasing or decreasing? ii. Find the rate at which the distance between the spaceship and the spectators is changing when the spaceship is 3 miles above the ground. (b) A sand storage tank is leaking and as it leaks, a conical pile is formed. The height of the pile is twice the radius and the rate of change in the radius is inches per minute. Find the rate at which the volume of the pile is increasing when the radius is 6in. The volume of a cone is V =r2h. (c) The side of an ice cube melts at a rate of 2 mm/min. When the side of the cube is 10mm, find the rate of change of the yolume of the cube.

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