You order a fancy cocktail (or mocktail) in a conical glass with the dimensions you found above (with L = 6 inches). It comes with a straw that extends 6 inches above the rim of the glass when leaning against the side of the glass. When the glass is full, calculate the work it takes to drink all of the drink. When the glass is half full, calculate the work it takes to drink all of the drink.Revolve the circle X" + y" = about the line x = 3 to create a donut. (Units are in inches here) a. Use the shell method to find the volume of this donut. Along the way, you'll encounter an integral of the form. VI -x2 dx . Instead of solving this analytically, make an easy geometric argument to find the value of this argument (side note: an easy argument is not always an obvious one, it may take some thinking to find out what the argument is, but once you do, you should think "oh yeah!") b. You have a unique approach to eating donuts, instead of just taking bites, you like to nibble around the edges and eat the donut from the outside in. What proportion of the donut have you eaten when you've nibbled into half of the thickness of the donut