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?
How long is the string in cm?
Correct answer:
Showing 2 comments:
Dr Math
Finding the length of the string is the same as finding the length of the hypotenuse of a triangle with a height of 48 cm and a base of a number of turns*circumference
Tips for related online calculators
See also our right triangle calculator.
You need to know the following knowledge to solve this word math problem:
- algebra
- expression of a variable from the formula
- solid geometry
- cylinder
- planimetrics
- Pythagorean theorem
- right triangle
- circle
- perimeter
- basic functions
- reason
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Total displacement
Calculate the total displacement of the 12-cylinder engine with the diameter of the piston bore B = 8.9 cm and stroke S=1.9 cm of the piston. Help: the crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and b - Circle from string
Martin has a long 628 mm string. He makes a circle from it. Calculate the radius of the circle. - A flagpole
A flagpole is leaning at an angle of 107° with the ground. A string fastened to the top of the flagpole is holding up the pole. The string makes an angle of 38° with the ground, and the flagpole is 8 m long. What is the length of the string? - Hectoliters 39141
The children's pool has the shape of a cylinder with a bottom diameter of 6 m and a height of 60 cm. The water reaches one decimeter below the top of the pool. How many hectoliters of water is in the pool? - Ladder
8.3 meters long ladder is leaning against the wall of the well, and its lower end is 1.2 meters from this wall. How high from the bottom of a well is the top edge of the ladder? - Cylindrical 4455
One hundred twenty wire turns are wound together on a cylindrical rod (r = 2 cm). How long is the wire when 10cm hangs freely at each end? - Double ladder
The double ladder shoulders should be 3 meters long. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart? - A trapezoid
A trapezoid is 75 ft wide on top, 85 ft on the bottom, and the height is 120 ft. What is its area in the square yds? - Concrete 3321
The water in the well is dropped by one ring; the ring has an inner diameter of 110 cm and a height of 80 cm. How much water is left in the well? The chutes are concrete rings forming the walls of the well. - The fence
I'm building a cloth (board) fence. The boards are rounded in a semicircle at the top. The tops of the boards between the columns should copy an imaginary circle. The tip of the first and last board forms the chord of a circle whose radius is unknown. The - Kevin 3
Kevin makes a list of the tasks he has to do after school and how long it will take him to do each task. Task Time; (hours) Read ; 1/3 Do homework ; 3/4 Play soccer ; 4/6 Practice piano ; 1/2 How long will it take Kevin to complete all of his tasks? Show - Water current
John swims upstream. After a while, he passes the bottle, and from that moment, he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bo - Precisely 82088
A regular helix is drawn on the shell of the cylinder such that it wraps around the cylinder precisely three times (that is, the point where it touches the upper base is exactly above the point where it touches the lower base). If the diameter of the cyli - Concrete curb
The concrete curb has a width of 20 cm at the bottom and 15 cm at the top. It is 20cm tall. Its length is 80 cm. The density of concrete is p=2100kg/m³. How many can Mr. Havlík load on a trailer for a car if the trailer has a load capacity of 400 kg? - Calculate 46381
Calculate the volume of the two pots and compare them. The first pot is 40cm high, and the diameter of its bottom is 24cm. The second pot is 24cm tall, and the diameter of its base is 40cm. - Circumference 5651
The iron roller has a base circumference of 28 π cm. The worker drilled a hole through the top of the roller. After drilling, the given product had a 35% smaller volume than before. The hole's circumference in the base is equal to the height of the roller - Excavation 8581
When building a new road, excavating a 280m long road in the ground was necessary. The bottom width, where the road runs, was 20m wide. At the top, the entire excavation was 30m wide. The depth of the excavation is 6 m. How much m³ of soil had to be remov