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A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass. - Mathematics

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.  [use π=22/7]

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Solution

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

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

Capacity of glass = Volume of frustum of cone

`= 1/3pih = (r_1^2+r_2^2+r_1r_2)`

`=1/3pih[(2)^2 +(1)^2+(2)(1)]`

`=1/3xx22/7xx14[4+1+2]`

= 308/3 = 102 2/3 cm3

Therefore, the capacity of the glass is 102 2/3 cm3

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APPEARS IN

NCERT Class 10 Maths
Chapter 13 Surface Areas and Volumes
Exercise 13.4 | Q 1 | Page 257
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