Question

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.

Answer 1

We have,

Height of the frustum = 14 cm

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

The capacity of the glass = Volume of the frustum

`= 1/3 pi"h"("R"^2 + "r"^2 + "rR")`

`= 1/3xx22/7xx14xx(8^2  + 6^2 + 8 xx 6)`

`= 1/3xx22xx2xx(64 + 36 + 48)`

`= 44/3xx148`

`= 6512/3 cm^3`

≈ 2170.67 cm³

So, the capacity of the glass is 2170.67 cm³.