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.

figure is drawn to visualize the shape.

As mentioned that the glass is in the shape of a frustum of a cone

Therefore, the capacity of the glass = Volume of the frustum of the cone.

Let us find the capacity of the glass by using formulae

Volume of frustum of a cone= 1/3 πh(r₁² + r₂² + r₁r₂), where r₁, r₂, and h are the radii and height of the frustum of the cone respectively.

Height of glass, h = 14 cm

Radius of the larger base, r₁ = 4 cm / 2 = 2 cm

Radius of the smaller base, r₂ = 2 cm / 2 = 1 cm

The capacity of the glass = Volume of frustum of a cone = 1/3 πh(r₁² + r₂² + r₁r₂)

= 1/3 × 22/7 × 14 cm × [ (2 cm)² + (1 cm)² + 2 cm × 1 cm]

= 44/3 cm × (4 cm² + 1 cm² + 2 cm²)

= 44/3 cm × 7cm²

= 308/3 cm²

= 102 ⅔ cm²

Therefore, the capacity of the glass is 102 ⅔ cm³.