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Unformatted text preview: 92-131 Calculus 1 Related Rates 50 cm50 cm 150 cm1) A spherical iron ball 8 inches in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of 10 in3/min, how fast is the outer surface area of the ice decreasing with the ice is 1 inch thick? 2) A trough in the shape of a triangular prism is being filled at a rate of 5 cc per minute. The depth and width of the trough are both 50 cm, while the length is 150 cm. How quickly is the level of the water rising when it is 30 cm deep? 3)Consider a can shaped like a right circular cylinder of equal diameter and height. Suppose the height changes at a rate of 3 cm/s. How quickly is the surface area changing when height is 5 cm? Write down the exact answer. 4) A trough in the shape of a trapezoidal prism (dimensions shown below) is being filled with water at a rate of 10 cc per minute. How fast is the water level rising when the trough is half full?...
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- Fall '09