Maths-
General
Easy

Question

A rope makes 260 rounds of a cylinder with a base radius 20 cm. How many times can it go round a cylinder with a base radius 26cm?

hintHint:

Hint:
Unitary method: The unitary method is a method in which we find the value of a unit and then the value of a required number of units. For example, If 10 apples cost is 100 rupees, 1 apple will cost 10 rupees and if we are asked to find the cost of 100 apples, we can find it by multiplying 100 with cost of 1 apple.

The correct answer is: 200 times


    We are given that a rope makes 260 rounds of a cylinder with a base radius 20 cm.
    Circumference of the cylinder with a radius of 20 cm = 2piR (R is the radius of the cylinder)
    = 2 pi cross times 20 = 40pi cm
    Length of rope = Circumference of the cylinder with a radius of 20 cm × Number of rounds
    Length of rope = 40pi × 260 = 10400pi cm
    We are asked the number of times the same rope can round a cylinder of a radius 26cm.
    Number of rounds = table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals fraction numerator text  Length of rope  end text over denominator text  Circumference of the cylinder of radius  end text 26 cm end fraction end cell row blank end table
    = fraction numerator 10400 pi over denominator 2 pi cross times 26 end fraction = 200 rounds
    Final Answer:
    Hence, the same rope can round 200 times a cylinder of a radius 26cm

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