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 MathsKid007 July 10th, 2018 09:27 PM

Riemann's Sum Problem

4 Attachment(s)
Brief Overview
Attachment 9806
What I've done so far:
Attachment 9803
Attachment 9804
Attachment 9805
The Question
If the safety capacity for the benign use of a camping gas lamp inside a confined space is (104÷5) m^3, calculate whether it would be safe to use the lamp within the lightweight ‘pop-up’ tent.
I know the height of my tent is (104/55) which is 1.89m, and the safety capacity is 20.8 m^3. However, in my volume equation I have an unknown variable 'r". How do I calculate this?
V = (-√3 h^3+3√3 r^2 h)/(2)
Any help would be appreciated thanks,
MathsKid007

 Country Boy July 21st, 2018 12:08 PM

If I am reading this correctly, r is the radius of the hemi-spherical struts supporting the tent. That is, r is the radius of the tent. Since this is a hemi-spherical tent, that is the same as the height of the tent, 1.89 m.

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