An inverted circular cone has a radius of 10 cm and a height of 15 cm. When water level in the cone is x cm, the volume of the water is V cm³. Show that V = x3. If the water is flowing out of the cone, find the approximate change in V, when x is 27 decreasing from 4 cm to 3.95 cm.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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An inverted circular cone has a radius of 10 cm and a height of 15 cm. When water level in the cone is x cm, the volume of
the water is V cm³. Show that V = "x3. If the water is flowing out of the cone, find the approximate change in V, when x is
27
decreasing from 4 cm to 3.95 cm.
Transcribed Image Text:An inverted circular cone has a radius of 10 cm and a height of 15 cm. When water level in the cone is x cm, the volume of the water is V cm³. Show that V = "x3. If the water is flowing out of the cone, find the approximate change in V, when x is 27 decreasing from 4 cm to 3.95 cm.
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