A rope is wound 50 times round a cylinder of radius 25cm.How long is the rope?Use the value 3,41
2 * 3,41 * 25 * 50
To find the length of the rope wound around the cylinder, we need to calculate the circumference of the cylinder and then multiply it by the number of times the rope is wound.
The formula for calculating the circumference (C) of a circle is:
C = 2 * π * r
where π is approximately equal to 3.14159 (given value is 3,41) and r is the radius of the cylinder.
Given that the radius (r) is 25 cm, we can plug these values into the formula:
C = 2 * 3,41 * 25
= 6,82 * 25
= 170,5 cm
Now, to find the length of the rope, we can multiply the circumference (C) by the number of times the rope is wound, which is 50:
Length = C * Number of windings
= 170,50 cm * 50
≈ 8525 cm
Therefore, the length of the rope is approximately 8525 cm.
To find the length of the rope wound around the cylinder, we need to calculate the circumference of the cylinder and then multiply it by the number of times the rope is wound around.
The formula for the circumference of a cylinder is given by:
C = 2πr
Where:
C is the circumference,
π is approximately equal to 3.14159, and
r is the radius of the cylinder.
In this case, the radius of the cylinder is given as 25 cm. Substituting this value into the formula, we have:
C = 2 * 3.14159 * 25
Calculating the value, we get:
C = 6.28318 * 25
C = 157.0795 cm
Now, we can multiply the circumference of the cylinder by the number of times the rope is wound around, which is 50 times:
Total length = C * 50
Total length = 157.0795 * 50
Total length = 7853.975 cm
Therefore, the length of the rope wound around the cylinder is approximately 7853.975 cm.