the diameter of a roller is 70 cm and its length 1.12m. find the area of a playground, if it takes 250 complete revolutions to move once over the playground to level it.

Bakvas pagal stupid

To find the area of the playground, we need to determine the distance covered by the roller in one revolution and multiply it by the number of revolutions needed to level the playground.

First, let's calculate the circumference of the roller, which is equal to the distance covered in one revolution. The circumference of a circle can be found using the formula:

Circumference = π * diameter

Given that the diameter of the roller is 70 cm, we can substitute this value into the formula:

Circumference = π * 70 cm = 70π cm

Next, we need to convert the length of the roller from meters to centimeters. Since 1 meter is equal to 100 centimeters, the length of the roller is:

Length = 1.12 m * 100 cm/m = 112 cm

Now, to find the total distance covered in one revolution, we add the circumference of the roller to its length:

Total Distance Covered in One Revolution = Circumference + Length
= 70π cm + 112 cm
≈ 70π + 112 cm

To find the total distance covered to level the playground, we multiply the above distance by the number of revolutions:

Total Distance Covered = Total Distance Covered in One Revolution * Number of Revolutions
= (70π + 112 cm) * 250

Finally, to find the area of the playground, we consider that the roller levels the ground evenly, so the area leveled is equal to the rectangle formed by the total distance covered and the width of the roller. The width of the roller is equal to its diameter:

Area of Playground = Total Distance Covered * Diameter
= (70π + 112 cm) * 250 * 70 cm

Now you can simplify the expression and calculate the value to find the area of the playground.

One roll covers a rectangle of (70π by 1.12) m^2

= 78.4π m^2
we have 250 rotations, so the area
= 250(78.4π) = 19600π m^2