Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cm at two ends is shown in Figure 1. The surface area of the capsule is 2 cm². i) ii) Figure 1 Show that the volume of the capsule is V=r- m³. Find the value(s) of r so that the volume of the capsule is maximum. Find the maximum volume of the capsule.

7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cm at two ends is shown in Figure 1. The surface area of the capsule is 2 cm². i) ii) Figure 1 Show that the volume of the capsule is V=r- m³. Find the value(s) of r so that the volume of the capsule is maximum. Find the maximum volume of the capsule.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cm at two ends is shown in Figure 1. The surface area of the capsule is 2 cm². i) Figure 1 Show that the volume of the capsule is V=r- m³. Find the value(s) of r so that the volume of the capsule is maximum. Find the maximum volume of the capsule.
Transcribed Image Text:7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cm at two ends is shown in Figure 1. The surface area of the capsule is 2 cm². i) Figure 1 Show that the volume of the capsule is V=r- m³. Find the value(s) of r so that the volume of the capsule is maximum. Find the maximum volume of the capsule.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS