The radius of the bottom surface of a cylinder is 8cm and the height is 6cm. The cylinder is divided into two parts equally along the diameter of the bottom surface of the cylinder (as shown in the figure). How many square centimeters does the surface area increase from the original?

The radius of the bottom surface of a cylinder is 8cm and the height is 6cm. The cylinder is divided into two parts equally along the diameter of the bottom surface of the cylinder (as shown in the figure). How many square centimeters does the surface area increase from the original?


8 × 2 × 6 × 2 = 192 (square centimeter); answer: at this time, the surface area increases 192 square centimeter



The diameter of the bottom surface of a cylinder is 12 cm and the height is 16 cm. What is the surface area
It's too late to ask separately


12÷2=6
Bottom area: 6 * 6 * 3.14 = 113.04
Side area: 12 * 3.14 * 16 = 602.88
Surface area: 113.04 * 2 + 602.88828.96



The diameter of the bottom of a cylinder is 4cm. If it is cut into two equal cubes along the diameter of the ground, the surface area of the cylinder will increase by 24 square decimeters
How much is it?


This problem can be divided into two cases: one is that the length of the cube is equal to the height of the cylinder, so the increase of the surface area should be the side area of the cylinder; the other is that the length of the cube is greater than the height of the cylinder



The diameter of the bottom surface of a cylinder is 4dm. If it is cut into two equal half cylinders along the diameter of the bottom surface, and the surface area is increased by 24 square decimeters, what is the volume of the cylinder,


24 ÷ 2 = 12m square (area of one additional face)
12m=120dm
120 △ 4 = 30dm
4 △ 2 = 2DM (find the radius of the cylinder)
S = 3.14 × 2 square = 12.56dm square (cylinder bottom area)
12.56 × 30 = 376.8dm cubic (cylindrical volume)
Well, the premise is "π≈ 3.14"



The diameter of the bottom surface of the cylinder is 4dm. If the cylinder is cut into two equal cylinders along the diameter of the bottom surface, the surface area will increase by 24 square decimeters. The volume of the cylinder is ()
The diameter of the bottom of a cylinder is 20cm. If it is cut into three sections along the direction parallel to the bottom, the surface area will increase ()


The diameter of the bottom surface of the cylinder is 4dm. If the cylinder is cut into two equal cylinders along the diameter of the bottom surface, the surface area will increase by 24 square decimeters, and the volume of the cylinder is (75.36 square decimeters)
The diameter of the bottom surface of a cylinder is 20cm. If it is cut into three sections along the direction parallel to the bottom surface, the surface area will increase (1256 square centimeters)



If the surface area of a cylinder is 50.24 square decimeters and the bottom radius is 2 decimeters, what is the height of the cylinder?


Bottom area: 3.14 × 22 = 12.56 (square decimeter), side area: 50.24-2 × 12.56 = 25.12 (square decimeter), height: 25.12 ^ (2 × 3.14 × 2), = 25.12 ^ 12.56, = 2 (decimeter), answer: column height is 2 decimeter



As shown in the figure, if a cube with an edge length of 10 cm is cut into the largest cylinder, what is the surface area of the cylinder
A cylinder in a cube


Cylinder radius = 10 △ 2 = 5cm
Cylinder height = 10 cm
Surface area of cylinder
=2 × bottom area + side area
=2×3.14×5²+2×3.14×5×10
=471 square centimeters



The shape of a part is shown in the figure below. A small cylinder is dug out in the middle of the large cylinder. It is known that the height of the two cylinders is 10 cm
The shape of a part is shown in the figure below. A small cylinder is dug out in the middle of the large cylinder. It is known that the height of the two cylinders is 10 cm, and the bottom diameter is 4 cm to 8 cm respectively. When the part is completely immersed in water, what is the surface area of the part in contact with water?


How to solve the problem:
S surface = s large cylinder side + s small cylinder side + area of ring × 2
Note: area of ring = s big circle - s small circle
Solution steps:
3.14 × 4 × 10 = 125.6 (square centimeter) - s small cylinder side
3.14 × 8 × 10 = 251.2 (square centimeter) - side of s large cylinder
125.6 + 251.2 = 376.8 (cm2) - s large cylinder side + s small cylinder side
3.14 × (4 / 2) × (4 / 2) = 12.56 (square centimeter) - small circle area
3.14 × (8 / 2) × (8 / 2) = 50.24 (square centimeter) - large circle area
50.24-12.56 = 37.68 (cm2) - large circle area small circle area (ring area)
376.8 + 37.68 × 2 = 452.16 (square centimeter)
A: the surface area of parts in contact with water is 452.16 square centimeters
Hehe, I was in grade six
I don't know if it's right



If the height of a cylinder is increased by 3 cm, the surface area will be increased by 18.84 square cm. If the original height of the cylinder is 10 cm, what is the original surface area of the cylinder


Bottom area: 18.84 △ 3 = 6.28 (cm2)
Surface area: 6.28 × 10 = 62.8 (cm2)



Take a cylinder with a circumference of 18.84 cm at the bottom and a height of 10 cm, and calculate the surface area
Say something


Side area 18.84 * 10 = 188.4
Radius 18.84/3.14/2 = 3
Bottom area 3.14 * 3 * 3 = 28.26
Surface area 188.4 + 28.26 * 2 = 244.92