1. The problem statement, all variables and given/known data The region R shown in Fig. 1 is bounded by the line y=8(x-2), the axes, and the line y=h. Find by integration the volume formed when R is rotated through 360° about the y axis(see Fig. 2) A whisky glass has the shape indicated in Fig 2 where the units are centimetres. A whisky taster holds the glass upright and pours in whisky to a depth of 2cm. He then adds water to a further depth of 2cm. Show that if he had poured in the water first and then the whisky, each to a depth of 2cm the glass would have contained approximately 25% more whisky than by the first method. The attempt at a solution For the volume generated I got 55∏/6 cubic units. It's the 2nd part of the question that is puzzling me. Well I know realize that the cup is not uniform so.. there would be more whiskey in the 2nd method. But how do I show this mathematically? HELP MUCH APPRECIATED!!