A conical flask of water The flask has base radius r and height h The water is poured into a cylindr...........

Quantitative Aptitude ( CCS) Mensuration 3D

A conical flask of water. The flask has base radius(r) and height (h). The water is poured into a cylindrical flask of base radius Mr. Find the height of water in the cylindrical flask?

h/3 m²

2h/3 m²

1/3h m²

none of these

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Explanation:

Given:
Base radius of the conical flask = r m
Height of the conical flask = h m
Volume of the cone = (1/3)∏×r²×h ………………………..(i)
Given,
Base radius of the cylindrical flask is M_r.
Let the height of the flask be h1.
Volume of the cylinder = ∏×r²×h
It’s volume = (1/3)∏×r²×h…………………………(ii)
Since water in conical flask is poured into cylindrical flask their volumes are same.
So, equations i and ii are same .
(1/3)∏×r²×h =(1/3)∏×r²×h
h1= h/3m²
The required height of the cylindrical vessel is h/3m^2.