Question

The diameter of a wheel of a bus is 112cm. How many revolutions are required to cover 1 km56 metres.


a) 500

b) 300

c) 400

d) 200

​

Answer 1

✬ Revolutions = 300 ✬

Step-by-step explanation:

Given:

• Diameter of wheel is 112 cm.
• Distance to be covered is 1 km 56 m.

To Find:

• In how many revolutions wheel will cover the distance ?

Solution: Here diameter is 112 cm. Therefore,

➙ Radius = Diameter/2

➙ Radius = 112/2 = 56 cm

[ Changing cm in m ]

• 100 cm = 1 m
• 56 cm = 56/100 = 0.56 m

One revolution made of wheel = Circumference of wheel.

As we know that

★ Circumference = 2πr ★

$\implies{\rm }$ 2(22/7)(0.56)

$\implies{\rm }$ 44/7(0.56)

$\implies{\rm }$ 24.64/7

$\implies{\rm }$ 3.52

[ Changing distance in from km to m ]

• 1 km = 1000 m
• 1 km 56 m = 1056 m

➨ In 1 revolution wheel will cover = 3.52 m

➨ In 1056/3.52 revolution wheel will cover = 300 revolutions.

Hence, option B is correct.

Answer 2

Answer :-

Option (b) is correct.

• 300 revolutions are required to cover 1 km 56 meters.

Given :-

• The diameter of a wheel of a bus = 112 cm
• Distance to be covered by the bus = 1 km 56 meters

To FinD :-

• How many revolutions are required to cover 1 km 56 meters distance.

Solution :-

Distance = 1 Km 56 meter

= (1 Km 56 meter) × 1000 meter

= 1056 meter

Diameter of wheel = 112 cm

We know that :-

• Radius = Diameter/2

Radius = 112/2 cm

Radius = 56 cm

Radius (r) = 56/100 meter = 0.56 meter

Now,

One revolution made by wheel = Circumference of wheel

And we know that :-

• Circumference = 2πr

Circumference = 2 × π × 0.56

= 2 × 3.14 × 0.56

= 3.52 meter

Now,

• In one revolution the wheel will cover 3.52 meter

So, the total revolution to cover 1056 meter = 1056/3.52

= 300

Hence, the option B is correct option.