Mensuration Practice Test 4

Question : 12 of 40

Marks: +1, -0

A solid sphere of 30 cm radius is dropped into a cylindrical vessel of 80 cm diameter, which is partly filled with water. Then its level rises by:

Solution:

Radius of solid sphere = 30 cm
Volume =

4/3 πr^2

4/3 π(30)^2

= 3066 π

cm^3

Diameter of cylindrical vessel = 80 cm = r
= 40 cm.
Volume =

pr^2h

π(40)^2h

3600 π = 1600 πh

{3600}/{1600}

= h
= 22.5 cm.

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