The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters, then how fast is the VOLUME changing?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
The radius of a sphere is increasing at a rate of
4 meters per minute.
When the radius is 11 meters,
then how fast is the VOLUME changing?
4
Note: Volume of a sphere =
π •
(radius) ³
3
The rate of change of the VOLUME is
cubic meters per minute.
(Enter your answer as a decimal number rounded to 2
places.)
Transcribed Image Text:The radius of a sphere is increasing at a rate of 4 meters per minute. When the radius is 11 meters, then how fast is the VOLUME changing? 4 Note: Volume of a sphere = π • (radius) ³ 3 The rate of change of the VOLUME is cubic meters per minute. (Enter your answer as a decimal number rounded to 2 places.)
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