9. Five marks example problem III

An industrial metallic bucket is in the shape of the frustum of a right circular cone whose top and bottom diameters are \(10 \ m\) and \(4 \ m\) and whose height is \(4 \ m\). Find the curved and total surface area of the bucket.

 

Answer:

 

Curved surface area \(=\)  \(m^2\)

 

Total surface area \(=\)  \(m^2\)

 

[Note: Enter your answer up to two decimal places]