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:
- Joanne
Joanne and Roger are planting a rectangular garden. The garden is 8 1/2 ft by 13 ft. They want to use half of the garden for cucumbers and half for tomatoes. They decide to separate the garden into two right triangles. What is the area of the tomato part - Chauncey
Chauncey is building a storage bench for his son's playroom. The storage bench will fit into the corner and against two walls to form a triangle. Chauncy wants to buy a triangular-shaped cover for the bench. Suppose the storage bench is 2 1/2 ft. Along on - Triangular prism
Calculate a triangular prism if it has a rectangular triangle base with a = 4cm and hypotenuse c = 50mm, and the height of the prism is 0.12 dm. - Perpendicular prism
Calculate the volume of the vertical prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs.
- Display case
Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs. - Area of RT 2
Calculate the area of a right triangle whose legs have a length of 6.2 cm and 9.8 cm. - Task
I have homework. The cube has an edge 7 cm long, and I must find the wall and body diagonal. - Similarity
Are two right triangles similar if the first one has an acute angle 70° and the second one has an acute angle 20°? - It is rectangular?
The size of two of the angles in a triangle is α=110°, β=40°. Is it a right triangle?
- Triangle
Can an equilateral triangle have a right angle? - Triangle P2
Can a triangle have two right angles? - Right triangle
Right triangle legs have lengths 630 mm and 411 dm. Calculate the area of this triangle. - Rectangular trapezoid
How many inner right angles have a rectangular trapezoid? - NYC block
Bijan wants to go running during his family’s vacation to New York City. To do so, he will run a neighborhood block 20 times. Bijan runs a total of 8 miles. The block has length of 3/20 miles. Use the formula for the perimeter of the neighborhood block an