- #1
Thepiman12
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Homework Statement
A closed cylinder is required to have a volume of 40m^3 but made with the minimum amount of material. Determine the radius and height the cylinder must have to meet such a requirement.
V= πr^2h
Steps needed:
a) Insert value and transpose for h
b) Then sub into the area formula
c) Then differentiate
Homework Equations
V= πr^2h
The Attempt at a Solution
V= πr^2h
40= πr^2h
40/h= πr^2
h=πr^2/40
A= 2πrh+2πr^2 Subbing in h= πr^2/40
A= 2πr(πr^2/40)+2πr^2