. If the radii of the circular ends of a conical bucket, which is 16 cm high, are 20 cm and 8 cm, find the capacity and total surface area of the bucket. [Use pi= 22/7]

Explanation

Given : radi of the circular ends of conical bucket are` 16 cm` and `20 cm` and height is` 20 cm.`

Let `r1 = 20 cm, r2 = 8 cm and h = 16 cm`

Capacity of the bucket = Volume of the frustum

`:. Capacity of the bucket = 1/3 pi h ( r1^2 + r2^2 + r1r2 )`

`= 1/3 x 22/7 x 16 ( 20^2 + 8^2 + (20)(8) )`

`= 10459.43 cm^3`

Let the slant height `= l`

`:. l^2 = 12^2 + 16^2`

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