Answer:
701 revolutions
Step-by-step explanation:
Given: Length= 2.5 m
Radius= 1.5 m
Area covered by roller= 16500 m²
Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.
Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.
Formula; Lateral surface area of cylinder= [tex]2\pi rh[/tex]
Considering, π= 3.14
⇒ lateral surface area of cylinder= [tex]2\times 3.14\times 1.5\times 2.5[/tex]
⇒ lateral surface area of cylinder= [tex]23.55 \ m^{2}[/tex]
∴ Area covered by cylindrical roller in one revolution is 23.55 m²
Next finding total number of revolution to cover 16500 m² area.
Total number of revolution= [tex]\frac{16500}{23.55} = 700.6369 \approx 701[/tex]
Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.
