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Brenda
Posts:
1
From:
Australia
Registered:
3/7/13


REALLY HARD CALCULUS MODELLING AND PROBLEM SOLVING QUESTION
Posted:
Mar 7, 2013 5:03 AM



A lightweight "popup" tent consists of six flexible plastic struts that are inserted into pockets sewn into the joins of the fabric panels. The resulting shape has hexagonal horizontal crosssections, while vertical crosssections through the centre are semicircular.
Derive a formula for the volume of the tent as a function of its height.
How do i do it? I tried doing a symmetrical trapezium on the graph and revolved it around half way to get the tent look, not a sphere, but the top part (the roof of the tent) was in the shape of a trapezium (shaped like a diamond? like theres edges), not half a sphere like it should be, and the base being a hexagon. If you can imagine it? Anyways, need help!



