Four identical cylindricak tins are tied together bx a rubber band. If r = 14cm, how long is the rubber band?
are they tied end to end?
length=2*2r+4*length*2
tied to each other in a group?
length=2PIr+4*2r
draw the figure and check me on that
Hint:
Take 4 identical coins (e.g. 4 quarters) and place them together so they are locked into each other.
Now make a sketch then draw the rubber band around them.
Lots of geometrical properties showing up here.
Yes they are tied together
To find the length of the rubber band, we need to calculate the total circumference of all four cylindrical tins tied together.
The circumference of a cylinder can be calculated using the formula: C = 2πr, where C represents the circumference and r is the radius.
Given that the radius of each tin, r, is 14 cm, we can calculate the circumference of a single tin:
C1 = 2π(14) = 28π cm
Since there are 4 identical tins tied together, we need to multiply the circumference of a single tin by 4 to get the total circumference of all four tins:
Total Circumference = 4 * C1
= 4 * 28π cm
To get the length of the rubber band, we need to calculate the total circumference:
Length of Rubber Band = Total Circumference
= 4 * 28π cm
Therefore, the length of the rubber band is 112π cm, which is approximately 352.8 cm.