Question

A water tank has the shape of an inverted circular cone with radius 2 ft and depth 8 ft. Water is leaking out of the tank at a rate of 1.5 ft/min. a. Compare the rate of change in the depth of the water when h=6 ft to the rate of change in the depth of the water when h-3 ft. Would these rates be the same or different? If different, describe how they would be different and why. Be specific. (4 pts.) b. Compute the rate of change in the depth of the water when h - 3 ft. [Note: the volume of a cone is given by the formula V = rºh]. Include units of measurement with your answer. (8 pts.)

Answer 1

Sola 2. 2. 1 아 98 8 [h=4r ginen du ston = Lopht v = 17th ye (. vs ㅗㅈ YE In h2 (dh 16 idt dv 5 좁 g at ay dh A 국 24 (3 3T dh dt lho min

24 dh of 6=3 8 3ñ (312 orches are elifferent . these → because ch on is depending is height " dt {ch dh dt 24 2 Th2 24 dh dth=3 a los = 0.8988 femin 1 = 35 (312
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