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CBSE Class 9 Answered

The radius of a sphere, the side of a cube and the length of a rod made of the same material of copper is 3cm. These are successively immersed in a liquid to find the density of a liquid. The area of cross section of the rod is 6π sq.cm Which of the three will displace minimum volume of water?
Asked by fightershadow958 | 17 Dec, 2020, 01:33: PM
answered-by-expert Expert Answer
Volume of displaced liquid equals volume of immersed solid
 
Volume VS of sphere of radius r ,  VS = (4/3)πr3 = (4/3)π × 33 = 113 cm3
 
Volume VC of Cube of side a = a3 = 33 = 27 cm3 
 
Volume Vr of Rod = Crosssection area × length = 6π × 3 = 56.55 cm3 
 
Volume of cube is smallest volume , hence cube of side length 3 cm displaces minimum water
Answered by Thiyagarajan K | 17 Dec, 2020, 02:45: PM

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