Page 27 - AG Unit 2 Capacity, Cavalieri, and Constructions
P. 27
AG 2.95: Cavalieri’s Principle and Solids
5. Rizzo looks at the two cylinders below and says that the oblique cylinder
has less volume because it is at an angle. The volume for the right cylinder
is V = π(3)2(h) and the volume for the oblique cylinder is V = π(3)2(sin 73°)(h)
because it is at an angle. Is she correct?
Group Think (Source: www.agmath.com)
1. A 6-foot tall cylinder with a 2-foot radius is filled with 3 feet of water. A steel cube with
12 inch edges is dropped into the cylinder. How many inches does the water level rise?
2. Ice cream is sold in a square box that is 3 by 6 by 8 inches. How many cones can be filled
(just to the rim), if each has a 1.5-inch radius and is 4 inches tall?
3. The cone below is filled with 6 inches of water. Is this more, less, or equal to half the
volume?
