A vessel is in the form of hollow cylinder which has been on a hemispherical bowl.The radius of the hemisphere is 7cm and the total height of the vessel is
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➼Correct Question:-
A vessel is in the form of hollow cylinder which has been surmounted on a hemispherical bowl.The radius of the hemisphere is 7cm and the total height of the vessel is 13 cm. Determine the total capacity of the vessel.
➼Solution:-
➨Radius if the hemisphere = 7 cm
➨Radius if the cylinder = radius of the hemisphere = 7 cm
➨Total height of the vessel = 14 cm
➨Total height of the vessel = height of the cylinder +
radius of the hemisphere
⇒13 = height of the cylinder + 7
➨Height of the cylinder = 13 - 7 = 6 cm
➨Capacity of the vessel = vol. of the cylinder + vol. of the hemisphere
= π r² h + (2/3) π r³
➨Here "r" = 7 and "h" = 6
= π (7)² 6 + (2/3) π (7)³
= π(7)(7)6 + (2/3)π(7)(7)(7)
= π(7) (7) (6) + (2/3) π (7) (7) (7)
= 294π + 228.67π
= 522.67π
➨Hence, the capacity of the vessel is = (522.67)π cm³
