a vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. The diameter of a sphere is 14 cm and the total height of the vessel is 13 cm . Find its capacity??
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Step-by-step explanation:
Given:- Diameter is 14 cm
Total height is 13 cm
Now , radius is 14/2 = 7 cm
To find , total capacity of the bowl
Solution, Now height of cylinder is,
Total height - Radius of the base
= 13 cm - 7 cm
= 6 cm
Therefore, volume of hemisphere is ,
2/3×pi×R^2
= 2/3×22/7×7^2
=2/3×22/7×49
=102.6 cm^3
volume of cylinder is,
pi×R^2×h
22/7×7^2×6
=22/7×49×6
=924 cm^3
Therefore,
Total volume is,
Ar hemisphere + Ar cylinder
= 924 cm^3 + 102.6 cm^3
= 1026.6 cm^3
Therefore, total capacity is 1026.6 cm^3
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