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Surface area of a cone A cone with height h and radius r has a lateral surface area (the curved surface only, excluding the base) of S = mrVr? + ?. a. Estimate the change in the surface area when r increases from r = 2.50 to r = 2.55 and h decreases from h = 0.60 to h = 0.58. b. When r = 100 and h = 200, is the surface area more sensitive to a small change in r or a small change in h? Explain.

Surface area of a cone A cone with height h and radius r has a lateral surface area (the curved surface only, excluding the base) of S = mrVr? + ?. a. Estimate the change in the surface area when r increases from r = 2.50 to r = 2.55 and h decreases from h = 0.60 to h = 0.58. b. When r = 100 and h = 200, is the surface area more sensitive to a small change in r or a small change in h? Explain.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 83RE
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Surface area of a cone A cone with height h and radius r has a lateral surface area (the curved surface only, excluding the base) of S = mrVr? + ?. a. Estimate the change in the surface area when r increases from r = 2.50 to r = 2.55 and h decreases from h = 0.60 to h = 0.58. b. When r = 100 and h = 200, is the surface area more sensitive to a small change in r or a small change in h? Explain.
Transcribed Image Text:Surface area of a cone A cone with height h and radius r has a lateral surface area (the curved surface only, excluding the base) of S = mrVr? + ?. a. Estimate the change in the surface area when r increases from r = 2.50 to r = 2.55 and h decreases from h = 0.60 to h = 0.58. b. When r = 100 and h = 200, is the surface area more sensitive to a small change in r or a small change in h? Explain.
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