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An open metallic bucket is in the shape of a frustum of a cone mounted on hollow cylindrical base made of metallic sheet. If the diameters of the two circular ends of the bucket are and , the total vertical height of the bucket is and that of the cylindrical portion is , find the area of the metallic sheet used to make the bucket. Also, find the volume of the water it can hold. (Take )

Answer

We have,
Height of the frustum of the cone
Radii of the circular ends are and

Slant height of the frustum



Area of metallic sheet used=Curved surface area of the frustum of cone+area of circular base+curved surface area of cylinder




Volume of water that the bucket can hold




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