Imagine making a tent in the shape of a spherical cap (a sphere with a lower portion sliced away by a plane).
Assume we want the volume to be 2.2m^3 to sleep two or three people. Draw a picture, identifying all appropriate variables. The floor of the tent is cheaper material than the rest: assume that the material making up the dome of the tent is 1.4 times as expensive per square meter than the
material touching the ground.
a) What should the dimensions of the tent be so that the cost of the material used is a minimum?
b) What is the total area of the material used?
I'm having problems simply finding the dimensions. (The radius, height, and slant) ANy advice?