A conical shaped heap of sand is growing (picture sand being added from above at its peak). If the height is always half the size of the base radius, and if the volume is changing at a rate of 2 ft'/sec, find the rate at which the height is changing when the base radius is 86 feet.

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...
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7. A conical shaped heap of sand is growing (picture sand being added from above at its peak). If the
height is always half the size of the base radius, and if the volume is changing at a rate of 2 ft'/sec,
find the rate at which the height is changing when the base radius is 86 feet.
Transcribed Image Text:7. A conical shaped heap of sand is growing (picture sand being added from above at its peak). If the height is always half the size of the base radius, and if the volume is changing at a rate of 2 ft'/sec, find the rate at which the height is changing when the base radius is 86 feet.
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