A path 2m wide surrounds a circular pond of diameter of 40 m How many cubic meters of sand are requi...........

Quantitative Aptitude ( CCS) Mensuration 3D

A path 2m wide surrounds a circular pond of diameter of 40 m. How many cubic meters of sand are required to grave the path to a depth of 20 cm?

52.77m³

51.77m³

62.77m³

50.77m³

छोटे Courses बड़े Results

Master Mensuration 3D

Prepare through Micro-courses

Try Now

Explanation:

Given,
Diameter of the circular pond=40 m
Radius of the pond= 20m/2 =10m (r=d/2)
Thickness=2m
We know 1cm =0.01m
10cm=10/100 m =0.10m
Since the whole view of the pond looks like a hollow cylinder. So,
Thickness (t) =R-r
2=R-20
R=22m
Volume of the hollow cylinder=∏(R²−r²)×h
∏(22²−20²)×0.10
=52.77m³
Volume of the cylinder is 52.77m³.
Since it is a hollow cylinder the volume of the cylinder indicates the required amount of sand needed to spread across to a depth of 20 m.