Question
Mon January 30, 2012 By:
 

the inner diameter of a cylindrical glass is 5cm but the bottom of the glass is raised portion reduces the capacity of the glass. if the height of the glass is 10cm, find the apparent capacity of the glass and the actual capacity of the glass.

Expert Reply
Tue January 31, 2012
Since the inner diameter of the glass = 5 cm and height = 10 cm, the apparent capacity of the glass = ?r2 h = 3.14 × 2.5 × 2.5 × 10 cm3 = 196.25 cm3 But the actual capacity of the glass is less by the volume of the hemisphere at the base of the glass. i.e., it is less by 2/3 ?r3 = 2 x 3.14 x 2.5 x 2.5 x 2.5 cm3 = 32.71 cm3 So, the actual capacity of the glass = apparent capacity of glass – volume of the Hemi-sphere = (196.25 – 32.71) cm3 = 163.54 cm2
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