1. The volume of a cylinder is reduced by 16.8 cubic decimeters by cutting a cylinder into the largest cone? 2. The bottom area of a cylinder and a cone is equal. It is known that the height ratio of the cylinder and the cone is 1:9. The volume of the cylinder is 3 cubic decimeters. What is the volume of the cone?

1. The volume of a cylinder is reduced by 16.8 cubic decimeters by cutting a cylinder into the largest cone? 2. The bottom area of a cylinder and a cone is equal. It is known that the height ratio of the cylinder and the cone is 1:9. The volume of the cylinder is 3 cubic decimeters. What is the volume of the cone?

Volume of cylinder = bottom area × height
The volume of the cone = the area of the bottom × the height △ 3
Suppose that the volume of the original cylinder is x, then according to the volume calculation formula, we can know that
The volume of the cone is x △ 3
therefore
X-X÷3=16.8
X = 25.2 cubic decimeter
So the volume of the cylinder is 25.2 cubic decimeters
Volume of cylinder = s * h
Volume of cone = 1 / 3 * s * h
So, cylinder volume: cone volume = sh: (1 / 3SH) = (s * h): (1 / 3 * s * 9h) = (SH): (3SH) = 1:3
Because the cylinder volume is 3 cubic decimeters, the cone volume is 9 cubic decimeters