1. A cylindrical vessel of radius 6 cm is partially filled with water. By how much will the water level rise if a sphere of radius 5 cm is completely immersed in this water? (Take π = 22/7)
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By: anil on 05 May 2019 02.18 am
Radius of sphere, R = 5 cm Radius of cylinder, r = 6 cm and height of cylinder = h cm The rise in water level is equal to the height of cylinder when volumes of both solids is equal. => Volume of cylinder = Volume of sphere => $$pi r^2 h = frac{4}{3} pi R^3$$ => $$(6)^2 imes h = frac{4}{3} imes (5)^3$$ => $$h = frac{4 imes 125}{36 imes 3} = frac{125}{27}$$ => $$h = 4.63$$ cm
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