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6. The total exterior surface area of an empty cylinder, which is closed on one end, is 462 cm2. (a) Find the height (h) of the cylinder in terms of t and radius (r). Hence find the value of r for which (b) the volume of the cylinder is a maximum. ..... ...

6. The total exterior surface area of an empty cylinder, which is closed on one end, is 462 cm2. (a) Find the height (h) of the cylinder in terms of t and radius (r). Hence find the value of r for which (b) the volume of the cylinder is a maximum. ..... ...

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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6. The total exterior surface area of an empty cylinder, which is closed on one end, is 462 cm2. (a) Find the height (h) of the cylinder in terms of t and radius (r). Hence find the value of r for which (b) the volume of the cylinder is a maximum. ....... The diagram represents a right circular cone of height, h cm, and a base radius of r cm. If the sum of the height and base radius is 12 cm, (a) express r in terms of h. (b) the volume of the cone in terms of h. express determine the maximum volume of the cone. (c) ...... EXAMPLE 27
Transcribed Image Text:6. The total exterior surface area of an empty cylinder, which is closed on one end, is 462 cm2. (a) Find the height (h) of the cylinder in terms of t and radius (r). Hence find the value of r for which (b) the volume of the cylinder is a maximum. ....... The diagram represents a right circular cone of height, h cm, and a base radius of r cm. If the sum of the height and base radius is 12 cm, (a) express r in terms of h. (b) the volume of the cone in terms of h. express determine the maximum volume of the cone. (c) ...... EXAMPLE 27
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