In this page combination of solids solution8 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

**Question 8:**

A solid sphere of diameter 6 cm is dropped into a right circular cylindrical vessel with diameter 12 cm,which is partly filled with water, If the sphere is completely submerged in water,how much does the water level in the cylindrical vessel.

**Solution:**

Diameter of sphere = 6 cm

Radius of sphere = 3 cm

diameter for cylindrical vessel = 12 cm

Radius of cylindrical vessel = 6 cm

Volume of water level

increased in the cylindrical tank = Volume of sphere dropped into the vessel

Π r² h = (4/3) Π r³

r² h = (4/3) r³

(6)²(h) = (4/3) (3)³

6 **x **6 **x **h = (4/3)** x** 3** x** 3** x** 3

** **h = (4/3)** x** 3** x** 3** x** 3/(6** x** 6)

** **h = (4)/(2** x** 2)

** **h = 1 cm

**Therefore increased water level is 1 cm**

combination of solids solution8 combination of solids solution8

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