A vessel is in the form of a hemi spherical bowl on which is mounted a hollow cylinder The diameter ...........

Quantitative Aptitude ( CCS) Mensuration 3D

A vessel is in the form of a hemi-spherical bowl on which is mounted a hollow cylinder. The diameter of the sphere is 14 cm and the total height of vessel is 15 cm, find the capacity of the vessel.

1977.23 cm³

1999.45 cm³

1840.67 cm³

1950.67 cm³

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Explanation:

Diameter is 14, so radius is 7 cm
Total height = 15 cm, so height of cylinder = 15-7 = 8 cm (because height of hemisphere is same as its radius)
Capacity of vessel = volume of cylinder + vol of hemisphere
So = πr²h + 2/3 *πr³
= 22/7 * 7 * 7 * 8 + 2/3 * 22/7 * 7 * 7 * 7
= 1232 + 718.67
= 1950.67 cu cm