The radius of a spherical balloon is increasing at the rate of 0.5 cm/ minute. How fast is the volume changing when the radius is 7.1 cm? ..... The volume is changing at a rate of cm / minute. (Type an integer or a decimal. Round to one decimal place as needed.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 2E
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The radius of a spherical balloon is increasing at the rate of 0.5 cm / minute. How fast is the volume changing when the radius is 7.1 cm?
.....
The volume is changing at a rate of
3
cm° / minute.
(Type an integer or a decimal. Round to one decimal place as needed.)
Transcribed Image Text:The radius of a spherical balloon is increasing at the rate of 0.5 cm / minute. How fast is the volume changing when the radius is 7.1 cm? ..... The volume is changing at a rate of 3 cm° / minute. (Type an integer or a decimal. Round to one decimal place as needed.)
A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 3 feet per
second, how fast is the distance between the dock and the boat decreasing when it is 4 feet from the dock?
Rope
5 ft
Boat
Dock
.... .
The distance between the dock and the boat is decreasing by
feet per second when the boat is 4 feet from the dock.
(Round to the nearest thousandth as needed.)
Transcribed Image Text:A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being pulled in at the rate of 3 feet per second, how fast is the distance between the dock and the boat decreasing when it is 4 feet from the dock? Rope 5 ft Boat Dock .... . The distance between the dock and the boat is decreasing by feet per second when the boat is 4 feet from the dock. (Round to the nearest thousandth as needed.)
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