Q. a rope makes 140 rounds of the circumference of a cylinder, the radius of whose base is14cm. how many times can the same rope go rouund a cylinder with radius 20cm ?
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HEY DEAR ...
Length of rope = a
Circumference of 1st cylinder's base = 2 x pie x 14.
Circumference of 2nd cylinder' base = 2 x pie x 20.
Assume that the rope goes around 2nd cylinder T times.
You have 2 equations as below:
a = 140 x 2 x pie x 14
a = T x 2 x pie x 20.
Solve for a and T, you will get T = 98
HOPE , IT HELPS ...
Length of rope = a
Circumference of 1st cylinder's base = 2 x pie x 14.
Circumference of 2nd cylinder' base = 2 x pie x 20.
Assume that the rope goes around 2nd cylinder T times.
You have 2 equations as below:
a = 140 x 2 x pie x 14
a = T x 2 x pie x 20.
Solve for a and T, you will get T = 98
HOPE , IT HELPS ...
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