MATH 102 Lecture : Math 102 Chapter 9 Related Rates

A cylinder of radius r and height h has a volume of V=pi*r^2*h.and a surface area of S=2pi*r^2 + 2pi*r*h.

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A) When the radius r=5 in and is increasing at a rate of 3in/secwhile the height h=10in and is decreasing at a rate of 6in/sec,determine the rate of the volume change.

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B) When the radius r=5in, height h=2in and increases at a rateof 3in/sec, and the surface area is decreasing at a rate of3in^2/sec, determine the rate of the radius change.

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The radius of a spherical ball is increasing at rate of 2 cm/min. At what rate is the surface area of the ball increasing when the radius is 8 cm?

The radius of a spherical ball is increasing at a rate of . At what rate is the surface area of the ball increasing when the radius is 8 cm?