Asked by Meghan
Find the dimensions (in units) of the closed cylinder with volume
V = 16π
units3 that has the least amount of surface area.
radius
units
height
units
V = 16π
units3 that has the least amount of surface area.
radius
units
height
units
Answers
Answered by
Steve
If πr^2h=V then h=V/(πr^2)
the area is thus
a = 2πr^2+2πrh = 2πr^2+2πrV/(πr^2)
= 2πr^2 + 2V/r
minimize that
the area is thus
a = 2πr^2+2πrh = 2πr^2+2πrV/(πr^2)
= 2πr^2 + 2V/r
minimize that
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