The Problem:

The diameter of the wheel of a car is 63 cm. We need to find the distance traveled by the car during the period in which the wheel makes 1000 revolutions.

Solution:

To find the distance traveled by the car, we need to determine the circumference of the wheel and then multiply it by the number of revolutions.

Step 1: Calculate the Circumference of the Wheel

The circumference of a circle can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 63 cm, we can substitute this value into the formula to find the circumference.

Circumference = π * 63 cm

Now, let's calculate the circumference.

Step 2: Calculate the Distance Traveled

To find the distance traveled by the car, we need to multiply the circumference of the wheel by the number of revolutions.

Distance Traveled = Circumference * Number of Revolutions

Given that the wheel makes 1000 revolutions, we can substitute this value into the formula to find the distance traveled.

Distance Traveled = Circumference * 1000

Now, let's calculate the distance traveled.

Step 3: Plug in Values and Calculate

Let's plug in the value of the circumference into the formula and calculate the distance traveled.

Circumference = π * 63 cm

Using the value of π as approximately 3.14, we can calculate the circumference.

Circumference ≈ 3.14 * 63 cm

Circumference ≈ 197.82 cm

Now, let's plug in the value of the circumference into the formula for distance traveled.

Distance Traveled = 197.82 cm * 1000

Distance Traveled = 197820 cm

Conclusion:

The car will travel a distance of approximately 197820 cm during the period in which the wheel makes 1000 revolutions.