In this question shape of the glass is frustum. Question from R S Aggarwal book, Problem number 1, Exercise 17 C, Page number 822, chapter volume and surface area of solid.

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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 16 cm and 12 cm. Find the capacity of the glass.

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Given data,

Height of the frustum, h=14 cm,

Base radii, R=16/2=8 cm and r=12/2=6 cm

The capacity of the glass=Volume of the frustum=[1/3] π h [R²+r²+rR]

=[1/3]×[22/7] × 14 × [8²+6²] + [8×6]

= [44/3] × 148

=6512/3 cm³

= 2170.666 cm³

∴ the capacity of the glass is 2170.666 cm³