In a rectangular pool with a length of 3 meters, a width of 2 meters and a height of 2 meters, a cylinder with a bottom circumference of 3 1.4 square decimeter is placed, and the water surface rises by 2 decimeters. What is the volume of this cylinder? (Important process)

Water level rise: 2 decimeters = 0.2 meters.

Cylinder volume: 3× 2× 0.2 = 1.2 (cubic decimeter)

The surface circumference of the cylindrical container is 12.56 cm. When a conical plumb hammer is put in and completely submerged, the water level rises by 6 cm. How many cubic centimeters is the volume of conical plumb hammer? (Important process)

Radius of container: 12.56 ÷ 3. 14 ÷ 2 = 2 (cm)

Plumb volume: 3. 14× 2× 2× 6 = 75.36 (cubic centimeter)

A cylindrical glass jar with a bottom diameter of 20 cm. Put a cone with a bottom radius of 8 cm into the water completely, and the water level will rise by 3 cm. Find the volume of this cone. (Important process)

Cylinder radius: 20 ÷ 2 = 10 (cm)

Cone volume: 3.14×10×10× 3×1/3 = 314 (cubic centimeter).

A cylindrical cup with a bottom radius of 10 cm is filled with water, and a conical plumb hammer with a bottom radius of 5 cm is immersed in the water. When the plumb hammer was taken out of the cup, the water level in the cup dropped by 5 cm. How high is the plumb hammer? (Important process)

Plumb volume: 3.14×10×10× 5 =1570 (cubic centimeter)

Height of plumb hammer:1570× 3÷ (3.14× 5× 5) = 60 (cm).

Put a piece of starch iron weighing 546 grams into a cylindrical container with a bottom area of 20 square centimeters, and the water level rises by 3.5 centimeters. What is the ratio of mass to volume of this iron? (Important process)

Volume of iron block: 20× 3.5 = 70 (cubic centimeter)

The ratio is: 546: 70 = 7.8 (g/cm3).