Kahwai's answer to Alvin's Junior College 1 H2 Maths Singapore question.
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Find area
Find volume
Area is base + side
Material is area x thickness
Side is found by cutting the cylinder and becomes a rectangle with width as 2PI()R
Form equation don’t put in number
V = base area x height
Mat = thickness x Area
Area is as indicated
Then differentiate mat against R
Then differentiate mat again against R to show it is minimum as always > 0
Find volume
Area is base + side
Material is area x thickness
Side is found by cutting the cylinder and becomes a rectangle with width as 2PI()R
Form equation don’t put in number
V = base area x height
Mat = thickness x Area
Area is as indicated
Then differentiate mat against R
Then differentiate mat again against R to show it is minimum as always > 0
Date Posted:
4 years ago
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