Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and satisfy the equation S = 4xr² dt a. b. 页 dr dt -4 mm²/s, then find the following: when r = 6 mm when S = 4 mm² mm/s mm/s

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 2A: Find the area of the shaded portion of this figure. Round your answer to 2 decimal places.
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Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and satisfy the equation
S = 4TR²
If
d.S
dt
a.
b.
dt
dr
dt
-4 mm²/s, then find the following:
when r = 6 mm
when S = 4 mm²
mm/s
mm/s
Transcribed Image Text:Suppose that the surface area, S, and radius, r, of a sphere are changing with respect to time and satisfy the equation S = 4TR² If d.S dt a. b. dt dr dt -4 mm²/s, then find the following: when r = 6 mm when S = 4 mm² mm/s mm/s
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