What is the volume formula of cylinder

What is the volume formula of cylinder

Bottom area times height

Calculation formula of cylinder volume
Is there a formula for half the side area multiplied by the radius?
In the current textbook (sixth grade) published by Jiangsu Education Press, there is only the bottom area multiplied by the height, but I verified it, and the answer is right. Is there a formula for half of the side area multiplied by the radius?

V=π*R^2*h
=(2πRh)/2 * R
=(s side / 2) * r
Your idea is very good!
Draw inferences from one instance, it is worth affirming!

A cylinder, its side area is 100 square centimeter, the bottom radius is 3 centimeter?

The side can be expanded into a cuboid. The radius of the bottom is 3cm, which means the perimeter is 18.84cm. The length of one side of the cuboid is 18.84cm, and the calculated 100 / 18.84 = 5.31cm is the height of the cylinder. The volume of the cylinder = the area x height of the ground circle, which means 28.26x5.31 = 150.06cm2

If the bottom radius of a cylinder is increased by 4 cm, the side area will be increased by 75.36 square cm. This is the ratio of the side area to the original side area, which is 5:3. Find the volume of the cylinder

75.36÷（1－3/5）＝188.4
Height 75.36 △ (188.4-26 × 2 × 3.14) = 3
The original bottom radius is 188.4 △ 3 △ 3.14 △ 2-4 = 6
The volume of the cylinder is 6 × 6 × 3.14 × 3 = 339.12 cubic centimeter

The side area of a cylinder is 37.68 square centimeters, the bottom radius is 4 centimeters, and its volume is ()

Bottom circumference = 2 × 3.14 × 4 = 25.12 cm
Height = 37.68 △ 25.12 = 1.5cm
Volume = 3.14 × 4 × 4 × 1.5 = 75.36 cm3
A: its volume is (75.36 CC)

The side area of a cylinder is 37.68 square decimeters, and its bottom radius is 3 decimeters. How many decimeters is its height?

37.68 △ 3.14 × 3 × 2, = 37.68 △ 18.84, = 2 (decimeter), a: its height is 2 decimeter

If the height of a cylinder is reduced by 1 cm, the surface area will be reduced by 37.68 square cm. What is the bottom area of the cylinder?

The reduction of surface area is actually to reduce the surface area of the cylinder except the upper and lower bottom areas: then 37.68 is the surface area of the expanded rectangle, Changan is 1 cm high, then it is 37.68 cm long, and Changshi is the circumference of the bottom area circle, then the diameter of the bottom circle is 37.68/3.14, so you can calculate it! Calculate it yourself!

If the height of a cylinder is reduced by three centimeters, the surface area will be reduced by 37.68 square centimeters. What is the bottom area of the cylinder?

What is the circumference of the base of the cylinder
37.68 △ 3 = 12.56 (CM)
What is the base radius of the cylinder
12.56 ﹣ 3.14 ﹣ 2 = 2 (CM)
What is the base area of the cylinder
2 & # 178; × 3.14 = 12.56 (cm2)

If the height of a cylinder increases by 3 cm, the surface area of the two sections will increase by 37.68 square cm. What is the bottom area of the cylinder?

Because: only the side area is increased,
Therefore, the perimeter of the bottom surface is: 37.68 △ 3 = 12.56 cm
The radius of the bottom surface is: 12.56 △ 2 △ 3.14 = 2cm
The bottom area is: 3.14 × 2 × 2 = 12.56 square centimeter

The bottom radius of a cylinder is 2 cm and its height is 5 cm. Its side area is (), and its volume is ()?
Add a surface area

Side area = 62.8 square centimeter
Volume = 62.8 cm3
Surface area = 87.92 square centimeter