The radius of a spherical tumor is growing by centimeter per week. Find how rapidly the volume is increasing at the moment when the radius is 5 centimeters. [Hint: The volume of a sphere of radius r is V=³.] (Round your answer to the nearest integer.) cm³ per week

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The radius of a spherical tumor is growing by. centimeter per week. Find how rapidly the volume is increasing at the moment when the radius is 5 centimeters. [Hint: The
4
4
volume of a sphere of radius r is V =
-лr³.] (Round your answer to the nearest integer.)
3
3
cm³ per week
Transcribed Image Text:The radius of a spherical tumor is growing by. centimeter per week. Find how rapidly the volume is increasing at the moment when the radius is 5 centimeters. [Hint: The 4 4 volume of a sphere of radius r is V = -лr³.] (Round your answer to the nearest integer.) 3 3 cm³ per week
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