This is one of the important question from the cbse board exam because this question was asked in 2009 cbse board exam; Question number 40 from RS Aggarwal book page number 829, exercise 17D, chapter volume and surface area of solid.
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A cylindrical vessel with internal diameter 10 cm and height 10.5 cm is full of water. A solid cone of base diameter 7 cm and height 6 cm is completely immersed in water. Find the volume of water i] displaced out of the cylinder ii] left in the cylinder
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Volume of Water left in the vessel= volume of cylinder-volume of cone
V=πr^2h−31πr^2h
V=π×52×10.5−31π×3.52×6
V=748 cm^3
Volume of water displaced= Total volume of cylinder -V
V= π×52×10.5−748=77cm^3