A cone is constructed by cutting a sector from a circular sheet of metal with radius 12. The cut sheet is then folded up and welded. Find the radius and height of the cone with maximum volume that can be formed in this way. Write the objective function relating V and h in a form that does not include r. 1 h³ V= 48th- (Type an expression. Type an exact answer, using as needed.) The interval of interest of the objective function is [0,12]. (Simplify your answer. Type your answer in interval notation.) The radius is r = and the height is h =. (Type exact answers, using radicals as needed.) 12 12
A cone is constructed by cutting a sector from a circular sheet of metal with radius 12. The cut sheet is then folded up and welded. Find the radius and height of the cone with maximum volume that can be formed in this way. Write the objective function relating V and h in a form that does not include r. 1 h³ V= 48th- (Type an expression. Type an exact answer, using as needed.) The interval of interest of the objective function is [0,12]. (Simplify your answer. Type your answer in interval notation.) The radius is r = and the height is h =. (Type exact answers, using radicals as needed.) 12 12
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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![A cone is constructed by cutting a sector from a circular sheet of metal with radius 12. The cut sheet is then folded up and
welded. Find the radius and height of the cone with maximum volume that can be formed in this way.
Write the objective function relating V and h in a form that does not include r.
1
-Th²
3
V = 48th
(Type an expression. Type an exact answer, using as needed.)
The interval of interest of the objective function is [0,12].
(Simplify your answer. Type your answer in interval notation.)
0.
(Type exact answers, using radicals as needed.)
The radius is r = and the height is h =
12
1
12
r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7040b21-5a4e-4b8c-a916-592846fd3be2%2F9b88d1a7-f52a-47c9-8bc5-168445c58b08%2Fxxdyvkz_processed.png&w=3840&q=75)
Transcribed Image Text:A cone is constructed by cutting a sector from a circular sheet of metal with radius 12. The cut sheet is then folded up and
welded. Find the radius and height of the cone with maximum volume that can be formed in this way.
Write the objective function relating V and h in a form that does not include r.
1
-Th²
3
V = 48th
(Type an expression. Type an exact answer, using as needed.)
The interval of interest of the objective function is [0,12].
(Simplify your answer. Type your answer in interval notation.)
0.
(Type exact answers, using radicals as needed.)
The radius is r = and the height is h =
12
1
12
r
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