Mensuration

Step 1: Find the circumference of the field.
We are given that the cost of fencing the circular field is Rs. 5280 at the rate of Rs. 24 per meter. The total cost of fencing is equal to the circumference of the circle multiplied by the rate per meter. Therefore, the circumference of the field is:
Step 2: Use the formula for circumference to find the radius.
The formula for the circumference of a circle is given by: Substitute the value of the circumference and : Solve for :
Step 3: Find the area of the field.
The area of the circular field is given by: Substitute and :
Step 4: Find the cost of ploughing the field.
The cost of ploughing the field is Rs. 0.50 per m². Therefore, the total cost of ploughing the field is:

Step 1: Find the circumference of the wheel.
The diameter of the wheel is given as 80 cm, so the radius is: The circumference of the wheel is given by:
Step 2: Convert the speed of the car to cm/min.
The speed of the car is given as 66 km/h. To convert this to cm/min: Since there are 60 minutes in an hour:
Step 3: Calculate the distance traveled in 10 minutes.
In 10 minutes, the car will travel:
Step 4: Calculate the number of revolutions.
To find the number of revolutions, divide the distance traveled by the circumference of the wheel: So, each wheel makes approximately **44 complete revolutions** in 10 minutes.

The volume of a sphere is given by the formula: Substituting cm into the formula: Final Answer: cm .