Question

Can someone help me on my activity

1. A farmer has enough money to build only 100m of fence. What are the dimensions of the
field he can enclose the maximum area?
2. Find the minimum amount of tin sheet that can be made into a closed cylinder having a
volume of 108 cu. inches in square inches.
3. A box is to be constructed from a piece of zinc 20in2 by cutting equal squares from each
comer and turning up the zinc to form the side. What is the volume of the largest box that
can be so constructed?
4. A poster is to contain 300 (cm square) of printed matter with margins of 10cm at the top
and bottom and 5cm at each side. Find the overall dimensions if the total area of the poster
is minimum.
5. A normal window is in the shape of a rectangle surmounted by a semi-circle. What is the
ratio of the width of the rectangle to the total height so that it will yield a window admitting
the most light for a given perimeter?
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Answer 1

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