Cylinder and its circumference
The height of a cylinder is four times its circumference, c. What is the volume of the cylinder in terms of its circumference c?
Correct answer:
Tips for related online calculators
Tip: Our volume units converter will help you convert volume units.
You need to know the following knowledge to solve this word math problem:
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Rotary cylinder 2
The base circumference of the rotary cylinder has the same length as its height. What is the surface area of the cylinder if its volume is 250 dm³? - Perimeter of base
The circumference of the base of the rotating cylinder is the same as its height. What is the diameter and height of this cylinder with a volume of 1 liter? - Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l, and the base's perimeter is three times the height. - Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Circumference 64994
Calculate the volume of the cylinder if the circumference of the base o = 31.4 cm, height v = 6.4 cm - Circumference 61654
The diamond has an area of 21.6 cm square. Its height is 4 cm. What is the circumference of the diamond? - Cylinder 17971
The cylinder has a volume of 2000 liters and a height of 8 dm. What is its surface? - Mike chose
Mike chose four identical cubes, three identical prisms, and two identical cylinders from the kit. The edge of the cube is 3 cm long. The prism has two dimensions, the same as the cube. Its third dimension is two times longer. The diameter of the base of - Pipe thickness
The outer circumference of the tube is 32cm. Its length is 60cm, density 8.5g/cm³ and weight 9.495kg. Calculate the wall thickness of the pipe. - Calculated 4765
The volume of the cylinder is calculated as V = 1/4 pi times d on the type times v. Express the average d using the volume V and the height in the cylinder. Calculate d for V = 1000 l and v = 23dm - Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Lowest terms 2
We can write the expression 4/12 in its lowest term as 1/3. What is 3/15 expressed in its lowest term? - Cylinder-shaped 28531
The diameter of the bottom of the cylinder-shaped tank is 6 m. Its volume is 1500 m³. What is the height of the tank to about two decimal places? - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - Triangular 6610
The shell of the rotating cylinder is four times larger than the contents of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Cylinder twice
If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?):