8. The volume of a can of beans can be found by the formula V = ²h. a. If the radius is half the height of the can, write the equation for the volume of the can in terms of its radius. b. Find the volume of the can if its radius is 4 cm.
8. The volume of a can of beans can be found by the formula V = ²h. a. If the radius is half the height of the can, write the equation for the volume of the can in terms of its radius. b. Find the volume of the can if its radius is 4 cm.
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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Question
![**Problem 8: Volume of a Can of Beans**
The volume of a can of beans can be found using the formula:
\[ V = \pi r^2 h. \]
**a.** If the radius is half the height of the can, write the equation for the volume of the can in terms of its radius.
**b.** Find the volume of the can if its radius is 4 cm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa677ea8b-5202-4c1d-ad03-d1fd48268c04%2F72710176-37d3-448a-8a61-8a4553f9c9ff%2F4g3ir8h_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 8: Volume of a Can of Beans**
The volume of a can of beans can be found using the formula:
\[ V = \pi r^2 h. \]
**a.** If the radius is half the height of the can, write the equation for the volume of the can in terms of its radius.
**b.** Find the volume of the can if its radius is 4 cm.
Expert Solution
Step 1: Method used in the solution
We solve the given problem by using the volume formula given in the problem.
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