Consider a cone of height h radius r = = 4. Let the cone be oriented so that the base sits on the x-axis and the y-axis runs through its center. Using the shell method, the volume of the cone is: V shell = where a = a Va washer where a = V = = 12 with a circular base of b and b Using the disk method, the volume of the cone is: b - 1² = = dx and b = dy Use either method to compute the volume:
Consider a cone of height h radius r = = 4. Let the cone be oriented so that the base sits on the x-axis and the y-axis runs through its center. Using the shell method, the volume of the cone is: V shell = where a = a Va washer where a = V = = 12 with a circular base of b and b Using the disk method, the volume of the cone is: b - 1² = = dx and b = dy Use either method to compute the volume:
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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Transcribed Image Text:Consider a cone of height h = 12 with a circular base of
radius r = 4.
Let the cone be oriented so that the base sits on the x-axis
and the y-axis runs through its center.
Using the shell method, the volume of the cone is:
Vshell =
where a =
a
Vwasher
where a =
b
Using the disk method, the volume of the cone is:
b
-1°
=
a
V =
and b =
and b
dx
-
dy
Use either method to compute the volume:
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