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Math problems in the second volume of the sixth grade
1. The bottom area of the cone is 2.5 square meters, the volume is 4.5 cubic meters, and the height is how many meters?

2. The volume of the cylinder is 5.4 cubic decimeters, and the known height is 3.6 decimeters. What is its bottom area?

The volume of the cone is 0.768 cubic decimeter. It is known that its height is 24 cm. What is its bottom area?

First, find the volume of the following cylinder:

The bottom radius is 2 cm and the height is 10 cm. The bottom area is 4.5 square meters and the height is 3.6 meters;

The bottom surface is 3m in diameter and 4m in height; The bottom circumference is 6.28 meters and the height is 3 cm;

Second, find the volume of the following cone:

The bottom radius is 3m and the height is12m; Bottom area 120 cm2, 8 cm high;

The bottom surface has a diameter of 8 decimeters and a height of 1.5 meters; The bottom perimeter is 25. 12m, and the height is 3m.

Three, find the surface area of the following cylinder:

The bottom radius is 5 decimeters and the height is 20 centimeters; Bottom circle diameter 16 cm, height 3 cm.

The circumference of the bottom circle 12.56 decimeter, and the height is 20 cm.

Fourth, find the lateral area of the following cylinder:

The radius of the bottom surface is 4 decimeters and the height is 2 1 cm. Bottom diameter 16 cm, height 3 cm.

Verb (abbreviation for verb) Find the volume of the following objects:

Cylinder bottom circumference 18.84 decimeter, 2 meters high; The bottom of the cone has a diameter of 6 meters and a height of 20 decimeters;

The bottom area of the cone is12m2 and the height is 2m. What is the volume of a cylinder as high as the bottom?

What is the height of a cone with a volume of 12.56 cubic meters and a bottom radius of 2 decimeters?

Six, the application problems in practice:

1. A section of round steel is 1.8m long, with a bottom radius of 5cm and a weight of 7.8kg per cubic decimeter. How much does this round steel weigh?

2. An oil drum in the shape of an iron drum, with a bottom diameter of 6 decimeters and a height of 8 decimeters. How many kilograms can this oil drum hold? (The weight of oil per cubic decimeter is 0.82kg, and the number should be kept as an integer. )

3. Dig a cylindrical reservoir, and measure the bottom circumference of 3 1.4m and the depth of 2.4m from the inside. Its inner wall and bottom surface are coated with cement. What is the area of plastering part? How many tons can this reservoir hold? (weight of water per cubic meter is 1 ton)

4. A glass jar with a bottom area of 15 square decimeter and a water depth of 15 cm. When a stone is put in, the water level rises to 18 cm. What is the volume of this stone?

5. A cylindrical granary full of corn, measured from the inside, with a bottom circumference of 31.4m and a height of 6m. Corn weighs 740 kilograms per cubic meter. How many tons of corn are left after transportation by car?

6. A conical lead cone with a base diameter of 8 cm and a height of 7.5 cm. What is the volume of this lead cone?

7. A conical sand pile with a bottom area of12m2 and a height of 2m, with a sand weight of 1.7 tons per cubic meter. How many tons are left to build this pile of sand?

8. Cone-shaped grain pile with bottom circumference 18.84 decimeter and height of 2 meters; Each cubic meter of grain weighs 550 kilograms. How much does this pile of rice weigh?

9. A conical funnel with a volume of 94.2 cubic centimeters and a bottom radius of 3 centimeters. Find the height of the funnel.

10, a pile of conical sand with a bottom radius of 3m, a height of 15 decimeter, and a sand weight of10.5t per cubic meter. How many tons does this pile of sand weigh?

1 1. The rectangular body length is 28 decimeters, the width is 15 decimeter, and the height is 12 decimeter. Now it is cast into a cone with a bottom area of 90 square decimeters. What is the height of the cone?

12. The surface area of the cylinder is larger than the side area 12.56 m2. What is the volume of this cylinder?

13. There are six identical cylindrical wooden columns in a conference hall, each with a height of 4m and a circumference of 1.5 decimeter at the bottom. If you can draw 4.5 square meters per kilogram of paint, how many kilograms do you need to draw these wooden columns?

14. How many square decimeters of iron sheets do you need to make a cylindrical uncovered iron drum with a bottom circumference of 18.84 decimeters and a height of 8 decimeters?