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Question -

A drinking glass isin the shape of a frustum of a cone of height 14 cm. The diameters of its twocircular ends are 4 cm and 2 cm. Find the capacity of the glass.



Answer -

Radius (r1) of the upper base = 4/2= 2 cm

Radius (r2) of lower the base = 2/2= 1 cm

Height = 14 cm

Now, Capacity of glass = Volume of frustum ofcone

So, Capacity of glass = (⅓)×π×h(r12+r22+r1r2)

= (⅓)×π×(14)(22+12+(2)(1))

The capacity of the glass = 102×(⅔) cm3

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