
Home > CALC > Chapter 5 > Lesson 5.1.2 > Problem 5-14
5-14.
Look at the diagram of the cylinder. The circumference of the base is equivalent to x.
P = 2b + 2h
25 = 2x+2h
Solve for h.
V = π(r²)(h). Substitute.
The volume will be at a maximum when its derivative is 0.