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USE34. The diameter of a right circular cylinder is 24 cm and its height is 40 cm.This cylinder contains some water. Iron spheres of radius 2 cm each aredropped into this cylinder so that the water level inside the cylinder rises by6 cm. Find the number of iron spheres dropped into the cylinder. |
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Answer» water in cylinder = π×(12)^2×h let water level in cylinder be hand x no of sphere to be droppedvolume of 1 sphere= 4/3π(2)^3vol of X sphere = 4/3π(2)^2Xnow water level = h+6now water in cylinder= π(12)^2(h+6)4/3π(2)3X= π(12)^2(h+6)-π(12)^2×h4/3π(2)^3X=π(12)^2(h+6-h)4/3 ×8X= 144×6X= 144×6×3/4×8X= 81no of sphere=81 water in cylinder=--π(12)^2×h; volume of 1 sphere=4/3(2)^2x; water level= h+6; water in cylinder= π(12)^22x,; now water in cylinder=h+6; water in cylinder=π(12)^2(h+6); 4/3 x 8 x=144x6; X=144x6x3/4x8=81: no., of sphere=81 |
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