256x The volume of a sphere is increasing at a rate of 5 cm³/sec. Find the rate of change of its surface area when its volume is cm³ 3 64 3 OA. cm2/sec OB. 10x cm2/sec 5 O c. cm²/sec 3 5 OD. cm²/sec
256x The volume of a sphere is increasing at a rate of 5 cm³/sec. Find the rate of change of its surface area when its volume is cm³ 3 64 3 OA. cm2/sec OB. 10x cm2/sec 5 O c. cm²/sec 3 5 OD. cm²/sec
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.5: Other Types Of Equations
Problem 55E
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Transcribed Image Text:The volume of a sphere is increasing at a rate of 5 cm³/sec. Find the rate of change of its surface area when its volume is
OA.
63.
64
cm2/sec
OB. 10x cm2/sec
OC.
OD.
5
cm²/sec
3
52
cm²/sec
256
cm³
3
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VIEWStep 2: Define the rate of change of the volume of the sphere.
VIEWStep 3: Define the rate of change of the radius of the sphere.
VIEWStep 4: Define the rate of change of the surface area of the sphere.
VIEWStep 5: Find the rate of change of the surface area of the sphere.
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