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What is the number of revolutions made by a wheel of diameter $56 cm$ in covering a distance of $1.1 km$ ?

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3125

525

625

62

answer is C.

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Detailed Solution

Given, the diameter of the wheel is 56 cm.
Total distance covered by the wheel

= 1.1 km

\Rightarrow

Total distance covered by the wheel

= 1.1 \times 100000 cm

\Rightarrow

Total distance covered by the wheel

= 110000 cm

Diameter of wheel

= 56 cm

So,

r = \frac{56}{2}

\Rightarrow

r = 28 cm

Circumference of a circle is

2 πr

.
Now, circumference of wheel = Distance covered in one round

\Rightarrow

Circumference of wheel

= 2 π \times 28

So, distance covered in one round

= 176 cm

.
Number of revolutions

= \frac{total distance covered}{Circumf e rence}

\Rightarrow

Number of revolutions

= \frac{110000}{176}

\Rightarrow

Number of revolutions = 625
Hence, option 3 is correct.

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