Homework Help is Here – Start Your Trial Now!
Math
Calculus
9. Eric wants to make a cylindrical water tank from sheet-metal. It must have a top and bottom. The tank must be able to contain as much as 12 kL of water. (1 kL = 1m²) (Hint: Cylinder: volume = nr²h, surface area = 2лr² + 2лrh) = 12 Tr² meters a. Show that the height of the tank must be given by h b. Show that the total surface area of the tank must be given by, A = 2² +²4 meters² c. Find the dimensions (radius and height) of his tank which uses the least area of sheet-metal. 24

9. Eric wants to make a cylindrical water tank from sheet-metal. It must have a top and bottom. The tank must be able to contain as much as 12 kL of water. (1 kL = 1m²) (Hint: Cylinder: volume = nr²h, surface area = 2лr² + 2лrh) = 12 Tr² meters a. Show that the height of the tank must be given by h b. Show that the total surface area of the tank must be given by, A = 2² +²4 meters² c. Find the dimensions (radius and height) of his tank which uses the least area of sheet-metal. 24

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...
See similar textbooks
icon
Related questions
Question
Question 9 please all parts
9. Eric wants to make a cylindrical water tank from sheet-metal. It must have a top and bottom. The tank must be able to contain as much as 12 kL of water. (1 kL = 1m²) (Hint: Cylinder: volume mr2h, surface area = 2πr2 + 2mrh) = a. Show that the height of the tank must be given by h = meters 12 πρ2 24 b. Show that the total surface area of the tank must be given by, A = 2лr² + meters² c. Find the dimensions (radius and height) of his tank which uses the least area of sheet-metal. r
Transcribed Image Text:9. Eric wants to make a cylindrical water tank from sheet-metal. It must have a top and bottom. The tank must be able to contain as much as 12 kL of water. (1 kL = 1m²) (Hint: Cylinder: volume mr2h, surface area = 2πr2 + 2mrh) = a. Show that the height of the tank must be given by h = meters 12 πρ2 24 b. Show that the total surface area of the tank must be given by, A = 2лr² + meters² c. Find the dimensions (radius and height) of his tank which uses the least area of sheet-metal. r
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS