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A bicycle wheel makes 5000 revolutions in moving 11 km. Find the diameter of the wheel.

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30 cm

40 cm

50 cm

70 cm

answer is D.

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Detailed Solution

Given a bicycle wheel makes 5000 revolutions in moving 11 km.
The circumference of the circle is,

C = 2 π r

As we know that,
1 km = 1000 m
11 km = 11000m
Let revolutions be total observations.
Therefore, circumference is,

C = Total distance Total number of observations ⇒ 2 π r = 110005000

⇒ 2 × 227 × r = 115

⇒ r = 720

The diameter is,

d = 2 × r a d i u s

⇒ d = 2 × 3.5 m ⇒ d = 0.7 m ⇒ d = 70 c m A s, 1 m = 100 c m

Therefore, the diameter of the wheel is 70 cm.
Hence, option 4 is correct.

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