A sphere of diameter 12 cm is dropped

Asked by admin @ 25/08/2021 in Math viewed by 312 People

A sphere of diameter 12cm is dropped in a right circular cylindrical vessel partially filled with water. If the sphere is completely submerged in water the water in the cylindrical vessel rises by 3 5/9cm. Find the diameter.

Answered by admin @ 25/08/2021

Volume of sphere =volume of cylindrical part that rises the level of water

4/3pi. (12/2)^3=pi. (r)^2. (32/9)

4/3x6x6x6= (r)^2. (32/9)

8x36=(r)^2(32/9)

r=9

so diameter=18 cm

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