A cylindrical vessel of radius 6 cm and height 15 cm is filled with water to the brim. A solid made of a cone of radius 3 cm and height 4 cm standing on a hemisphere of radius 3 cm is lowered into it until it is completely submerged. Find the volume of water that overflows, in cm³. Take π = 3.14.

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Accepted Answer

94.2. Water overflows by exactly the volume of the solid. Cone = (1/3)π × 3² × 4 = 12π cm³; hemisphere = (2/3)π × 3³ = 18π cm³. Total = 30π = 30 × 3.14 = 94.2 cm³.

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A cylindrical vessel of radius 6 cm and height 15 cm is filled with water to the brim. A solid made of a cone of radius 3 cm and height 4 cm standing on a hemisphere of radius 3 cm is lowered into it until it is completely submerged. Find the volume of water that overflows, in cm3. Take π = 3.14.

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