CAT 2025 Lesson : Mensuration - Past Questions

Past Questions – Mensuration

Question 1

A hemispherical bowl is filled with hot water to the brim. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If diameter of the bowl is the same as that of the vessel, the volume of the hot water in the cylindrical vessel is
[IIFT 2012]

		60% of the cylindrical vessel
		80% of the cylindrical vessel
		100% of the cylindrical vessel
		None of the above

Question 2

A right circular cylinder has a radius of 6 and a height of 24. A rectangular solid with a square base and a height of 20, is placed in the cylinder such that each of the corners of the solid is tangent to the cylinder wall. If water is then poured into the cylinder such that it reaches the rim, the volume of water is:
[IIFT 2014]

		$288(\pi - 5)$
		$288(2\pi - 3)$
		$288(3\pi - 5)$
		None of the above

Question 3

If a right circular cylinder of height 14 is inscribed in a sphere of radius 8, then the volume of the cylinder is:
[IIFT 2015]

		110
		220
		440
		660

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