For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 36 in.3 and is constructed using the least amount of metal. Round your answers to two decimal places, if necessary. Let r and h (in in.) be the radius and height of the container, respectively. in. Complete the following parts. (a) Give a function f in the variable r for the quantity to be optimized. f(r) = %3D (b) State the domain of this function. (Enter your answer using interval notation.) (c) Give the formula for h in terms of r. h = %3D
For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 36 in.3 and is constructed using the least amount of metal. Round your answers to two decimal places, if necessary. Let r and h (in in.) be the radius and height of the container, respectively. in. Complete the following parts. (a) Give a function f in the variable r for the quantity to be optimized. f(r) = %3D (b) State the domain of this function. (Enter your answer using interval notation.) (c) Give the formula for h in terms of r. h = %3D
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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![For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius
and height of a container if it has a capacity of 36 in.3 and is constructed using the least amount of metal. Round your answers to
two decimal places, if necessary.
Let r and h (in in.) be the radius and height of the container, respectively.
in.
Complete the following parts.
(a)
Give a function f in the variable r for the quantity to be optimized.
f(r) =
%3D
(b)
State the domain of this function. (Enter your answer using interval notation.)
(c)
Give the formula for h in terms of r.
h D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F403db7d3-dfa2-4fb0-9890-8fb83da315ec%2Fefc8e275-32d7-49b1-b546-10cd73d9d08e%2F1kzwit5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius
and height of a container if it has a capacity of 36 in.3 and is constructed using the least amount of metal. Round your answers to
two decimal places, if necessary.
Let r and h (in in.) be the radius and height of the container, respectively.
in.
Complete the following parts.
(a)
Give a function f in the variable r for the quantity to be optimized.
f(r) =
%3D
(b)
State the domain of this function. (Enter your answer using interval notation.)
(c)
Give the formula for h in terms of r.
h D
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