A bucket is in the form of a frustum of a cone and holds 28.490 L of water. The radii of the top and bottom are 28 cm and
21 cm, respectively. Find the height of the bucket.

Clearly, Given bucket is in the form of frustum of a cone.

As we know

Volume of frustum of a cone

Where, h = height, r₁ and r₂ are radii of two ends (r₁ > r₂)

For given bucket,

Volume of bucket = 28.490 L

Volume of bucket = 28490 cm³

[As, 1 L = 1000 cm³ ]

Radius of top, r₁ = 28 cm

Radius of bottom, r₂ = 21 cm

Let the height be h.

Using these values,

We have.