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The diameter of a wheel is $1 m$ . The number of revolutions it will make to travel a distance of $22 km$ will be

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5,500

4,000

2,800

7,000

answer is D.

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Detailed Solution

Given that,
Determine the radius of the wheel by dividing diameter by 2.

r = 12

Use the circumference of the circle to determine the distance covered in 1 revolution.

C = 2 π 12

⇒

π

⇒ 227

The count of revolutions to cover 1 meter by the wheel is

722

.
22 kilometers in meters would be written as 22000.
Perform multiplication between

722

and 22000 to determine the required count of revolutions.

722 × 22000 = 7000

.
Therefore the count of revolutions required to cover the distance of 22 kilometers is 7000.
Hence the correct option is 4.

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