2. The volume of a cylinder is a cube of 48 decimeters, and the volume of three equal-height cones is a cube of 48 decimeters.
Application questions:
1. A cylindrical oil drum with a diameter of 40CM and a height of 5 mm If the oil weight of 1L is 0.73KG, how many kilograms of oil can this drum hold?
The bottom radius is: 40/2=20CM=2DM.
Volume: 3.14 * 2 * 2 * 5 = 62.8l.
This barrel can probably hold: 0.73*62.8=45.844KG.
2. A cuboid block whose bottom is a square with a side length of 4DM and a height of 9DM. If it is cut into the largest cylinder, what is the volume of this cylinder? If you cut it into the largest cone, what is the volume of the largest cone?
Cut into the largest cylinder with the bottom radius of 4/2=2DM.
The volume of the largest cylinder is: 3.14 * 2 * 2 * 9 =113.04 cubic decimeter.
The volume of the largest cone is:113.04 *1/3 = 37.68 cubic decimeter.
3. The bottom area of the cylindrical iron block is 28.26cm2 and the height is 24CM. If it is cast into a cylinder with a ground radius of 6CM, what is its height?
28.26*24/(3. 14*6*6)=6