The cylinder of radius 12 cm have filled the 20 cm with water. One piece of iron drop in the stands of water goes up 6.75 cm.

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asked Mar 19 in Class X Maths by priya12 (-12,494 points)

The cylinder of radius 12 cm have filled the 20 cm with water. One piece of iron drop in the stands of water goes up 6.75 cm. Find the radius of sphere piece.

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answered Mar 19 by muskan15 (-3,410 points)

Radius of cylinder = 12 cm

Height of cylinder = 6.75 cm

Volume of water = πr2h

= π × 12 × 12 × 6.75 cm3

Let the radius of iron sphere piece = R cm

∵   Volume of sphere = Volume of water

4/3πR3 = π × 12 × 12 × 6.75

R3 = (π × 12 × 12 × 6.75 × 3)/4π

R3 = 729

R = 3√729 = 9 cm

Hence, the radius of sphere piece = 9 cm.

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