A manufacturer designs a cylindrical can with no top. The surface area of the can is 300 cm squared . The can has base radius r centimeters. Write a polynomial function to model the capacity, C cubic centimeters, of the can as a function of r
A manufacturer designs a cylindrical can with no top. The surface area of the can is 300 cm squared . The can has base radius r centimeters. Write a polynomial function to model the capacity, C cubic centimeters, of the can as a function of r
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A manufacturer designs a cylindrical can with no top. The surface area of the can is 300 cm squared
.
The can has base radius r centimeters. Write a polynomial function to model the capacity, C
cubic centimeters, of the can as a function of r
![The Cylinder
Diameter d = 2-r
Perimeter p = 2-r
Base Area A, = rr?
Lateral Surface A = 2-Trr-h
Surface A, = 2-T-r2+2-Trrh
A = 2-n-r-(r+h)
Volume V = n-r2h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03328d25-a05c-492d-87b7-853d96e3a4d9%2F595a7462-2020-4754-a431-bea7c14e5c64%2Fp98sl9k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The Cylinder
Diameter d = 2-r
Perimeter p = 2-r
Base Area A, = rr?
Lateral Surface A = 2-Trr-h
Surface A, = 2-T-r2+2-Trrh
A = 2-n-r-(r+h)
Volume V = n-r2h
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