find the capacity in terms of Pi of a cylindrical vessel with a hemispherical portion raised upward at the bottom having radius 3 cm and height 4 cm
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Capacity of the cylindrical vessel = Capacity of cylinder - capacity of hemisphere
Volume of cylinder = πr^2h
Volume of hemisphere = 2/3πr^3
So capacity of the cylindrical vessel = πr^2h - 2/3πr^3
= π × 3 × 3 × 4 - 2/3 × π × 3 × 3 × 3
= 36π - 18π
= 18π cm^3
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