# Increases at a rate of 2 r cmsec how fast is the

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Chapter 1 / Exercise 53
Precalculus: Mathematics for Calculus
Redlin/Stewart Expert Verified
) increases at a rate of 2rcm/sec. How fast isthe volume of the balloon increasing when the radius is 4cm?5) A 7ft tall person is walking away from a 20ft tall lamppost at a rate of 5ft/sec. Assume thescenario can be modeled with right triangles. At what rate is the length of the person's shadowchanging when the person is 16ft from the lamppost?6) An observer stands 700ft away from a launch pad to observe a rocket launch. The rocketblasts off and maintains a velocity of 900ft/sec. Assume the scenario can be modeled as a righttriangle. How fast is the observer to rocket distance changing when the rocket is 2400ft fromthe ground?-2-
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Chapter 1 / Exercise 53
Precalculus: Mathematics for Calculus
Redlin/Stewart Expert Verified
©2y2q0d1G34cKKultUaWySWokfxtKwzamrHeJeL8L4Co.0IpA3lclbprniogMhUtOs4lrRees2eFrgvjeKdb.jSzMBa8dgenkw9iftehQAIPnJfRignUiQtQesPCoapl3cOu6l3uksS.4Worksheet by Kuta Software LLCKuta Software - Infinite CalculusName___________________________________Period____Date________________Related RatesSolve each related rate problem.1) Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of cm/min. How fast is the area of the pool increasing when the radius is 5cm?4
dt
2) Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The area of
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