Answer:
The cost of leveling the ground is Rs 5340.6
Step-by-step explanation:
Given:
Diameter of the road roller = 90 cm
Length of the road roller = 2m 10 cm
Total number of number of revolution = 400
Cost of leveling = Rs 2.25 per square meter
To Find:
Total cost of leveling the ground = ?
Solution:
Step 1 : Finding the surface area of the road roller
Converting cm to m
90 cm = 0.9 m
2m 10 cm = 2 + 0.1 m = 2.1 m
Surface area of the road roller = surface are of the cylinder
= [tex]2\pi r h[/tex]
r= radius of the road roller
r= [tex]\frac{0.9}{2}[/tex]
r=0.45
Now surface area is
=>[tex]2 \times \pi \times 0.45 \times[/tex]
=>[tex]6.28 \times 0.45 \times 2.1[/tex]
=>[tex]2.826 \times 2.1[/tex]
=>5.934
Step 2 : Finding the area of the ground
Total area of the ground = Surface area of the road roller X number of revolutions
=>[tex]5.934 \times 400[/tex]
=> 2373.6
Step 3 : Finding the cost of leveling
Total cost of leveling = area of the ground X Cost per square meter
=> [tex]2373.6\times 2.25[/tex]
=>5340.6