Rain water from a roof 22 m 20 m 22 m 20 m drains into a cylindrical vessel having diameter of base ...........

Quantitative Aptitude (CDS) Mensuration 3D

Rain water from a roof 22 m $\times$ 20 m. 22 m $\times$ 20 m drains into a cylindrical vessel having diameter of base 2 m and height 3.5 m. If the vessel is just full, what is the rainfall?

3.5 cm

3 cm

2.5 cm

2 cm

छोटे Courses बड़े Results

Master Mensuration 3D

Prepare through Micro-courses

Try Now

Explanation:

Given diameter of base and height of cylinder vessel be 2 m and 3.5 m respectively.
Then radius of base (r) =2/2=1 m
h=3.5 m
Let height of roof be H m
Then volume of roof =22×20×H ……. (i)
Volume of cylindrical vessel = $\pi r^{2}h$
=22/7×1²×3.5 …… (ii)
Then, 22×20×H=22/7×1×3.5
=> H=22×3.57×22×20
=> H=0.025
=> H=0.025×100 cm
=> H=2.5 cm