Question

the radius of a wheel of a bus is 0.70 m. how many revolution will it make in covering 22 km

Answer 1

Circumference=2πr

=2*22/7*0.70=4.4m

Distance=revolutions*circumference

22000m=revolutions*4.4m

Revolutions=22000/4.4

=5000 revolutions

Answer 2

$\star\small\sf\underline\blue{Given:-}$

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• The radius of a wheel of a bus is 0.70m.

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$\star\small\sf\underline\blue{Find \: Out:-}$

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• Number of revolutions in covering 22 km = ?

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$\star\small\sf\underline\blue{Solution:-}$

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• Radius of the wheel = 0.70 m

$\footnotesize\bold{\underline{\underline{\sf{\red{Therefore:-}}}}}$

$\sf \: Circumference = 2\pi \: r \\ \\ \leadsto \sf \: Circumference = 2 \times \dfrac{22}{ \cancel7} \times \cancel{0.70 \:} m \: \\ \\ \leadsto \sf \: Circumference =2 \times 22 \times 0.10 \: m \\ \\ \leadsto \sf \: Circumference =44 \times 0.10 \: m \\ \\ \leadsto \sf \: Circumference =\large{\boxed{\bf\blue{4.40 \: m}}}$

$\footnotesize\bold{\underline{\underline{\sf{\red{Therefore:-}}}}}$

Number of revolutions in covering 22 km

$\: \: \: \: \: \: \sf = \dfrac{22 \: km}{4.4 \: m} \\ \\ \: \: \: \: \: \: \sf = \frac{22000 \: \cancel m}{4 \cancel.4 \: \cancel m} \\ \\ \: \: \: \: \: \: \sf = \dfrac{ \cancel{22} \times 1000 \times 10}{ \cancel{44} } \\ \\ \: \: \: \: \: \: \sf = \frac{1000 \times \cancel{10}}{ \cancel2} \\ \\ \: \: \: \: \: \: \sf = 1000 \times 5 \\ \\ \: \: \: \: \: \: \sf =\large{\boxed{\bf\pink{5,000 \: revolutions}}}$

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$\star\small\sf\underline\blue{AnswEr:-}$

• Number of revolutions in covering 22 km is 5,000 revolutions.