An industrial metallic bucket is in the shape of the frustum of a right circular cone whose top and bottom diameters are \( 20\ m\) and \(10 \ m\) and whose height is \(12 \ m\). Determine the curved and total surface area of the bucket.
Answer:
Slant height of the frustum \(=\) \(m\).
Curved surface area of a frustum of a cone \(=\) sq. units
Curved surface area of the bucket \(=\) \(m^2\)
Total surface area of a frustum of a cone \(=\) sq. units
Total surface area of the bucket \(=\) \(m^2\)
[Note: Enter your answer rounded off up to two decimal places]