If the height of a cylinder increases by 1cm, its side area will increase by 50.24cm. What is the volume of the cylinder

If the height of a cylinder increases by 1cm, its side area will increase by 50.24cm. What is the volume of the cylinder


Bottom perimeter = 50.24 △ 1 = 50.24 cm
Radius = 50.24 / 2 / 3.14 = 8 cm
Volume = 3.14 × 8 × H = 25.12 H



If the height of a cylinder increases by 1cm and the surface area increases by 50.24cm, the volume can be calculated


What's added is a 1 cm high side area
The perimeter of the bottom surface is 50.24 △ 1 = 50.24 cm
The bottom radius is 50.24 △ 3.14 △ 2 = 8 cm
Volume: 8x8x3.14x20 = 4019.2 cubic centimeter ≈ 4.02 cubic decimeter



If the height of a cylinder is increased by 2cm, its side area will be increased by 50.24cm2. What is the bottom radius of the cylinder?


Side area = perimeter of bottom surface × height
Because the side area is increased by 50.24 and the height is known, the perimeter of the bottom surface is 50.24 / 2 = 25.12
So the radius is 25.12 / (2 * 3.14) = 4



If the height of a cylinder is increased by 1 cm, its side area will be increased by 50.24 square cm. What is the bottom area of the cylinder? (please


Circumference of cylinder bottom circle: 2 π r = 50.24 △ 1 = 50.24 (CM)
Radius of cylinder bottom circle: r = 25.12 △ π (CM)
Bottom area of cylinder: π R & sup2; = π × (25.12 △ π) & sup2; = 200.96 (square centimeter)



If the height of a cylinder increases by one centimeter, its side area will increase by 50.24 square centimeter. The bottom area of the cylinder is () square centimeter


Side area of cylinder = circumference of bottom circle * height = 2 R * h
Then the side area of the new cylinder = 2 R * (H + 1)
2 faction R * (H + 1) - 2 faction R * H = 50.24
Put forward the two factions R, the two factions R * (H + 1-h) = 50.24
2, r = 50.24
So the bottom area of this cylinder is (50.24) square centimeters



If you increase the height of a cylinder by 1 cm, its surface area will increase by 50.24 square cm. What is the bottom radius of the cylinder?


The radius of the bottom of the cylinder is 8 cm



The circumference of the bottom surface of the cylinder is 20 cm. It is divided into two half cylinders along the diameter. The surface area is increased by 100 square cm
Two methods


(1) Perimeter = 2 π r = 20
r=10/π
Surface area increase = 100 = 2 * h * 2 * r = 4 * h * r
Height = 5 / 2 π
Cylinder volume = π R & # 178; * height = 250 cm3
(2) Perimeter = 2 π r = 20
πr=10
Surface area increase = 100 = 4 high * r
High * r = 25
Cylinder volume = π R & # 178; * height = (π R) * (height * r) = 10 * 25 = 250 square centimeter



If the height of a cylinder is increased by 1 cm, its surface area will be 50.24 square cm. How about the bottom area? (unit: square cm)


It's the increase of surface area
24 / 1 = 50.24 (CM)
Radius of bottom circle: 50.24 / (2 * 3.14) = 8 (CM)
The area of the bottom circle is: 8 ^ 2 * 3.14 = 200.96 (square centimeter)



If the height of a cylinder is reduced by 4 cm, the surface area will be reduced by 50.24 square cm. What is the bottom area of this cylinder_____ Square centimeter. (π = 3.14)


The circumference of the bottom surface of the cylinder: 50.24 △ 4 = 12.56 (CM), the bottom area of the cylinder is: 3.14 × (12.56 △ 3.14 △ 2) 2, = 3.14 × 22, = 3.14 × 4, = 12.56 (square cm), answer: the bottom area of the cylinder is 12.56 square cm. So the answer is: 12.56



The length of a cylinder wood is 3.5 meters, and the surface area is reduced by 1.256 square meters when it is cut down two meters along the height


The decrease of surface area is the side area, which has nothing to do with the bottom area, 1.256/3.14 = 0.4, which is the diameter of the cylinder, the radius is 0.2, the bottom area is 3.14 * 0.2 * 0.2 = 0.1256, and the volume is 0.1256 * 2 = 0.2512