pAn open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical ba...

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pAn open metal bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The diameters of the two circular ends of the bucket are \( 45 \mathrm{~cm} \) and \( 25 \mathrm{~cm} \), the total vertical height of the bucket is \( 40 \mathrm{~cm} \) and that of the cylindrical base is \( 6 \mathrm{~cm} \). Find the area of the metallic sheet used to make the bucket. Also, find the volume of water the bucket can hold, in litres./p
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