A cotton reel has a diameter of 3cm. 91 metres of cotton goes around it.
How many times does the cotton go around the reel? And give your answer to the nearest ten
Diameter of the reel is 3cm
circumference(C) of the reel = TTD = 3TT cm
No.of times the cotton go around the reel= length of the cotton/C
= 0.91 m / 3TT cm
= 91cm / 3x 3.14 cm---------------> 100cm =1m
= 9.66
so,the cotton will go around (approximatly)10 times around the reel.
If the length of the cotton is 91m which is 9100cm
then,
No.of times the cotton go around the reel= length of the cotton/C = 9100 /3x3.14
=966
Answer will be 966 times
Well, isn't that a twisty situation! Let's do some calculations, shall we?
First, we need to figure out the circumference of the cotton reel. Now, we all know the formula for that is 2πr, but I hope you won't mind if I use the shortcut, pi R square. Let's pretend the cotton reel is a cookie cutter!
So, the radius of the cotton reel is half of its diameter, which is 3/2 = 1.5 cm (or 0.015 meters, if we want to be fancy).
Now, we just multiply the radius by 2π to get the circumference. That means 0.015 x 2 x π ≈ 0.09424 meters.
Now we divide the total length of cotton (91 meters) by the circumference of the reel (0.09424 meters).
Doing the division gives us around 967.39 times the cotton goes around the reel.
Since you only asked for the answer to the nearest ten, I'll have to round it down to 960 times.
So there you have it! The cotton takes a good ol' 960 spins around the reel. That's a lot of twisty fun, isn't it?
To find out how many times the cotton goes around the reel, we need to calculate the length of cotton that goes around the reel once.
The formula to calculate the length of a circle is:
C = πd
where C is the circumference and d is the diameter of the circle.
Given that the diameter of the reel is 3 cm, the circumference can be calculated as:
C = π x 3 cm = 9.42 cm
Now, we know that 91 meters of cotton goes around the reel. To find out how many times the cotton goes around, we need to convert meters to centimeters:
91 meters = 91 x 100 = 9100 centimeters
We can now divide the length of the cotton (9100 cm) by the circumference of the reel (9.42 cm):
Number of times the cotton goes around = 9100 cm / 9.42 cm ≈ 968.61
Rounding this to the nearest ten, the cotton goes around the reel approximately 970 times.
To find out how many times the cotton goes around the reel, we need to calculate the length of cotton that goes around the reel once and then divide the total length of cotton by that amount.
First, let's calculate the circumference of the cotton reel using its diameter. The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter.
Given that the diameter of the cotton reel is 3 cm, we can substitute this value into the formula:
C = πd
C = π(3 cm)
C = 3π cm
Now, we can find the length of cotton that goes around the reel once. Since the circumference of the reel represents the length of cotton that goes around it once, we have:
Circumference of cotton reel = 3π cm
Next, we need to convert the length given in the question, 91 meters, into centimeters since the circumference is also in centimeters. Since 1 meter is equal to 100 centimeters, we have:
Length of cotton = 91 meters × 100 centimeters/meter
Length of cotton = 9100 centimeters
Finally, we can find the number of times the cotton goes around the reel by dividing the total length of cotton by the length of cotton that goes around the reel once:
Number of times the cotton goes around the reel = Length of cotton / Circumference of cotton reel
Number of times the cotton goes around the reel = 9100 cm / (3π cm)
Now, to approximate the answer to the nearest ten, we need to divide the result by 10, round it to the nearest integer, and then multiply it back by 10:
Number of times the cotton goes around the reel (to the nearest ten) ≈ (9100 cm / (3π cm)) / 10) × 10
Now, let's calculate this approximation:
Number of times the cotton goes around the reel (to the nearest ten) ≈ (9100 cm / (3π cm)) / 10) × 10
Number of times the cotton goes around the reel (to the nearest ten) ≈ (9100 / (3π)) / 10) × 10
Number of times the cotton goes around the reel (to the nearest ten) ≈ (9100 / (3 × 3.14)) / 10) × 10
Number of times the cotton goes around the reel (to the nearest ten) ≈ (9100 / 9.42) / 10) × 10
Number of times the cotton goes around the reel (to the nearest ten) ≈ 968 / 10 × 10
Number of times the cotton goes around the reel (to the nearest ten) ≈ 96 × 10
Number of times the cotton goes around the reel (to the nearest ten) ≈ 960
Therefore, the cotton goes around the reel approximately 960 times and the answer to the nearest ten is 960.