Question

The diameter of a roller is 2.5 m and length is 1.4 m. It moves 100 times to level the playground. What is the area of playground​

Answer 1

Answer:

The diameter of a roller is 2.5 m and the length is 1.4 m. It moves 100 times to level the playground. The area of the playground​ is 3850 sq. m.

Step-by-step explanation:

Given: Length of roller (h) = 1.4 m

Diameter of roller = 2.5

Radius of roller = 2.5/2

Find the area of the playground

Formula: Area covered = Curved surface × Number of revolutions

Curved surface = 2πrh

[tex]=2 \times \frac{22}{7} \times \frac{2.5}{2} \times 1.4\\ = 22 \times 2.5 \times 0.7\\ = 38.5 m^2[/tex]

Hence,

Area covered = Curved surface × Number of revolutions

Area covered =  38.5 × 100 = 3850 sq.m

Hence the area of the playground​ is 3850 sq. m.