In this page combination of solids solution7 we are going to see solution some practice questions of the worksheet combination of solid worksheet1.

**Question 7:**

A right circular conical vessel whose internal radius is 5 cm and height is 24 cm is full of water. The water is emptied into an empty cylindrical vessel with internal radius 10 cm. Find the height of the water level in the cylindrical vessel.

**Solution**

Radius of the right circular cone = 5 cm

Height of right circular cone = 24 cm

Radius of cylindrical tank = 10 cm

Now we have to find the height of the cylindrical tank

Volume of water inside

the conical container = Volume of water in the cylindrical tank

(1/3) Π r² h = Π r² h

(1/3)(5)²(24) = (10)² h

(1/3) **x **5 **x** 5 **x **24 = 10 **x **10** x** h

h = (1/3) **x **5 **x** 5 **x **24/(10 **x **10)

h = 5 **x** 5 **x **8/(10 **x **10)

h = 1 **x** 1 **x **8/(2 **x **2)

h = ** **8/4

h = ** **2 cm

combination of solids solution7

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