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:
- Evaluate expression
What is: the sum of negative four and one-half times n plus the quantity one-fourth plus one and three-fourths times n minus three-eighths? - The expression
What is the value of the expression ((6²+60))/(23) - Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube. - Right Δ
A right triangle has the length of one leg 72 cm and the hypotenuse 90 cm size. Calculate the height of the triangle.
- Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and area 415 cm². Calculate the volume of a cone. - 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 a length of 3/20 miles. Use the formula for the perimeter of the neighborhood block - Lara's sequence
Lara starts with a number less than 20. She divides it by 2 adds 6. She then divides this result by 3 her answer is 4.5 What number does she start with? - One muffin
Eight muffins and one drink cost $8.12. If the drink costs $1.24, find the cost of one muffin. - Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB.
- Mixed numbers equation
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box. - 13 times
1/3 times the sum of a number, and 2.6 is 4.9. What is the number? Enter your answer as a simplified mixed number in the box. - The average 12
The average of the first five numbers drawn was 2499. the first four numbers were 4165, 320, 7142, and 64. What was the fifth number? - Soup mixes
You sell soup mixes for a fundraiser. For each soup mix you sell, the company that makes the soup receives x dollars, and you receive the remaining amount. You sell 16 soup mixes for a total of (16x+96) dollars. How much money do you receive for each soup - Height of the box
The box needs to have a volume of 108 ¾ cubic inches. If its width is 7 ¼ inches and its depth is 1 ¼ inches, what must its height be?
- Perimeter - general
Solve: the perimeter of a triangle is 4x+1.if two of it side are(x+2) and (x-1). Find the third side. - The proportion
The proportion's first, second, and third terms are 4, 20, and 13. Find the fourth term. - The mean 2
The mean cost of 4 items was $39.96. The first item cost $28.50, the second item cost $41.25, and the third item cost $50. Find the cost of the fourth item.