Question : The radius of a wheel is 25 cm. How many rounds it will take to complete 11 km?
Option 1: 5000
Option 2: 6000
Option 3: 7000
Option 4: 4000
Correct Answer: 7000
Solution : Distance to be completed = 11 km = 11000 m Radius, $r$ = 25 cm = 0.25 m Distance covered in one round = $2\pi r = 2 × \pi × 0.25$ m = $0.50\pi$ m $\therefore$ Number of rounds required to cover 11 km = $\frac{\text{Total distance covered}}{\text{Distance covered in one round}} = \frac{11000}{0.50\pi}=\frac{11000\times7}{0.50\times22}$ = 7000 Hence, the correct answer is 7000.
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Question : The radius of a wheel moving on a road is $8\frac{3}{4}$ cm. How many rounds it will take to complete the 55 metres distance?
Option 1: 10
Option 2: 11
Option 3: 100
Option 4: 55
Question : The radius of a wheel is 3.5 cm. What is the distance (in cm.) traveled by the wheel in 20 revolutions?
Option 1: 220
Option 2: 440
Option 3: 880
Option 4: 1320
Question : The radius of a wheel is 21 cm. What is the distance (in cm) travelled by the wheel in 10 revolutions?
Option 1: 660
Option 2: 1320
Option 3: 1980
Option 4: 2640
Question : The diameter of a cycle wheel is 14 cm. A cyclist takes 30 minutes to reach a destination at a speed of 11 km/hr. How many revolutions will the wheel make during the journey?
Option 1: 12500
Option 2: 15000
Option 3: 17750
Option 4: 20000
Question : A frustum of a right circular cone, whose height is 18 cm, large base radius is 25 cm, and small base radius is 20 cm, is melted to form a small sphere of diameter 2 cm. How many spheres will be formed?
Option 1: 6287
Option 2: 6862
Option 3: 4575
Option 4: 5857
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