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Unformatted text preview: r = 0 when t = 0. (Solution) Recall that the volume of the cone of radius of base and of height is Here since the , . The volume after minutes: Hence after minutes, 6. A hotair balloon rises vertically from ground level as a rope attached to the base of the balloon is released at the rate of 6 ft/sec (see the figure). The pulley that releases the rope is 24 feet from a platform where passengers board the balloon. Express the altitude of the balloon as a function of time . MA153 JIN (Solution) Let be the height after seconds. The hypotenuse of the right triangle after seconds is . By Pythagorean theorem, we have...
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 Fall '08
 Pythagorean Theorem, triangle, 6 ft, 2 ft, 24 feet, 243 ft

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