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]