Question

a cylindrical vessel has a hemispherical bottom. given that the radius of the hemisphere is 3.5 cm, calculate the level of water in it if 1309/6 cubic cm of water is poured into it.

Answer 1

volume of hemisphere = 2/3 * pie * r3 = 2/3 * 22/7 * 3.5 * 3.5 * 3.5 = 539/6 cm3

if 1309/6 cubic cm of water is poured then water in cylinder excluding hemispherical base = 1309/6 - 539/6 = 770/6 cm3

volume of cylinder = pie * r2 * h

volume of water in cylinder = pie * r2 * h = 22/7 * 3.5 * 3.5 * h = 38.5h

38.5h = 770/6 = 10/3cm3

level of water = height in cylinder + radius of
hemispherical base = 10/3 + 3.5 = 41/6 = 6.8 cm (approx.)

HOPE IT HELPS YOU.......

Answer 2

Step-by-step explanation:

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