Bissoy.com
Doctors Medicines MCQs Q&A

A roller is 70 cm long and has a diameter of 2 cm. It takes exactly 100 rotations of the roller to level a road. If the cost of using the roller is 0.5 rupees per square cm, then what is the cost of levelling the road?

A roller is 70 cm long and has a diameter of 2 cm. It takes exactly 100 rotations of the roller to level a road. If the cost of using the roller is 0.5 rupees per square cm, then what is the cost of levelling the road? Correct Answer 22000

Given:

The length of the roller is 70 cm

The diameter of the roller is 2 cm

Concept:

The curved surface area of the roller = 2 × π × r × h

Calculation:

⇒ Radius of the roller = 2/2 = 1 cm

⇒ Length of the roller = 70 cm

⇒ The curved surface area of the roller = 2 × (22/7) × (1) × (70) = 440 cm2

⇒ In one rotation the roller covers 440 cm2. In 100 rotations, the roller covers = 440 × 100 = 44000 cm2

⇒ Cost of levelling = 44000 × 0.5 = 22000 rupees

∴ The required result will be 22000.

Related Questions

Car A with wheel of diameter 35 cm makes 40000 rotations per hour and car B with diameter 42 cm makes 50000 rotations per hour. Car A is chased by B from an initial separation of ‘x’ meters and overtakes it in 79.2 seconds. How much time would have been taken to overtake if car A has wheels rotating at a rate of 45000 rotations per hour (in seconds)?
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
A person is at the intersection of Town road and moon drive. He drives towards the north of Moon Drive, takes a left on the second road,  then right, and then left again, and then takes a left on the first road. Then he drives towards the east on the second road, takes a right on the first road, drives towards the west on the first road, and then stops at the first intersection. Which place is closest to his new position?
A boy puts only 5 rupees and 10 rupees coins in the piggy bank. On Monday he puts three 5 rupees coin, on Wednesday he puts one 10 rupees and two 5 rupees coin. Total amount in Piggy bank is 50 rupees. He puts only 5 rupees coin on Tuesday. How many 5 rupees coins he put on Tuesday?
A road roller has a total mass of 12 tonnes. The front roller has a mass of 2 tonnes, a radius of gyration of 0.4 m and a diameter of 1.2 m. The rear axle, together with its wheels, has a mass of 2.5 tonnes, a radius of gyration of 0.6 m and a diameter of 1.5 m. Calculate total kinetic energy of road roller.
A road roller has a total mass of 12 tonnes. The front roller has a mass of 2 tonnes, a radius of gyration of 0.4 m and a diameter of 1.2 m. The rear axle, together with its wheels, has a mass of 2.5 tonnes, a radius of gyration of 0.6 m and a diameter of 1.5 m. Calculate braking force required to bring the roller to rest from 9 km/h in 6 m on the level.
A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.
To see a cricket match there are different tickets available. For balcony per person, 500 rupees are taken, for middle seats 300 rupees per person, and for lower-level seats, 100 rupees per person. If 10000 spectators come to see match, 2000 seats on balcony, 3000 seats on middle seats, and remaining lower-level seats are for the remaining spectators. How much collection comes from lower-level seats?
A company paid Rs. 6,00,000 as bonus to its employees at different levels A, B and C. Each employee at level A receives one and half times of the amount that was paid to each employee at level B and each employee at level B was paid twice the amount paid to the employee at level C. If 50 employees were on level A, 75 on level B and 100 on level C, how much amount was paid to each employee of level A ?
Consider the following questions: A): Five wheel rotations on a bike takes you 12 yards. How many wheel rotations will be required to go 60 yards? B): In a college, 5 out of every 8 seniors live in apartments. Out of 30 seniors how many are likely to live in apartment? C): John and Lisa were walking at the same speed. Lisa started first. When Lisa has walked 6 blocks, john has walked 2 blocks. How many blocks would John cover when Lisa has covered 12 blocks. Choose the correct option.