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Find the total surface area of a closed cylindrical drum if its diameter is 50 cm and height is 45 cm. (π = 3.14)

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Given: 

For cylindrical drum: 

Diameter (d) = 50 cm and height (h) = 45 cm 

To find: Total surface area of the cylindrical drum

Diameter (d) = 50 cm

∴ radius (r) = \(\cfrac{d}{2}\)\(\cfrac{50}{2} =25\,cm\)

Total surface area of the cylindrical drum = 2πr (h + r)

= 2 x 3.14 x 25 (45 + 25) 

= 2 x 3.14 x 25 x 70 

= 10,990 sq.cm

∴ The total surface area of the cylindrical drum is 10,990 sq.cm.

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