Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What should the dimensions of the tent be so that cost of materials is minimum? S=2*PI*R*h and
V=(1/3)*PI*h*h*(3R-h).
Thank you!
V=(1/3)*PI*h*h*(3R-h).
Thank you!
Correct answer:
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You need to know the following knowledge to solve this word math problem:
- algebra
- expression of a variable from the formula
- solid geometry
- sphere
- surface area
- spherical cap
- hemisphere
- planimetrics
- area of a shape
- basic functions
- minimum
- derivation
Units of physical quantities:
Grade of the word problem:
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