1.) you are designing an auxiliary fuel tank that will fit under a helicopter's fuselage to extend its range. After some experimentation at your drawing board, you decide to shape the tanks like the surface generated by revolving the curve y=1-((X^2)/36) from -6≤x≤6 about the x-axis (dimensions in feet).
A) how many cubic feet of fuel will the tank hold?
B) a cubic foot is the same as 7.481 gal. If the helicopter gets 2 mi to the gallon, how many additional miles will the helicopter be able to fly once the tank is installed?
2.) Find the volume of the torus formed by revolving ((x-2)^2)+y^2 =1 about the y-axis using theorem of pappus