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3. A sector of radius 10 cm and angle Oradians is bent to form a conical cup as shown: ignore the degree sign in the diagram, it's a mistake) sector -join when edges (AB) and (CB) are joined with tape. becomes 10 cm 10 cm Suppose that the cone has radius rand height h a. Explain why the circumference of the base of the cone is 100 b. Explain why r = 50/n c. Show that h = V100 - (50/n)

3. A sector of radius 10 cm and angle Oradians is bent to form a conical cup as shown: ignore the degree sign in the diagram, it's a mistake) sector -join when edges (AB) and (CB) are joined with tape. becomes 10 cm 10 cm Suppose that the cone has radius rand height h a. Explain why the circumference of the base of the cone is 100 b. Explain why r = 50/n c. Show that h = V100 - (50/n)

Calculus: Early Transcendentals
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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3. A sector of radius 10 cm and angle Bradians is bent to form a conical cup as shown: [ignore the degree sign in the diagram, it's a mistake] sector join when edges (AB] and [CB] are joined with tape. becomes 10 cm B 10 cm Suppose that the cone has radius rand height h a. Explain why the circumference of the base of the cone is 108 b. Explain why r = 50/n c. Show that h = V100 - (50/n) d. Find the cone's volume in terms of e e. Find the maximum possible volume of the cone, and the value of e that gives this maximum.
Transcribed Image Text:3. A sector of radius 10 cm and angle Bradians is bent to form a conical cup as shown: [ignore the degree sign in the diagram, it's a mistake] sector join when edges (AB] and [CB] are joined with tape. becomes 10 cm B 10 cm Suppose that the cone has radius rand height h a. Explain why the circumference of the base of the cone is 108 b. Explain why r = 50/n c. Show that h = V100 - (50/n) d. Find the cone's volume in terms of e e. Find the maximum possible volume of the cone, and the value of e that gives this maximum.
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