A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Figure. If the height of the cylinder is 10 cm and its base is of radius 3.5 cm. Find the total surface area of the article.

 

Answer

Original height of cylinder = 10 cm

Base radius of cylinder = 3.5 cm

So, base radius of hemisphere = 3.5 cm (same as that of cylinder)

Total surface area of article = Curved surface area of cylinder + Curved surface areas of 2 hemispheres

CSA of cylinder = 2πrh

= 2 × 22/7 × 3.5 × 10

= 220 cm2

Surface areas of two hemispherical scoops = 2 × 2πr²

= 4 × 22/7 × 3.5 × 3.5

= 154 cm2

Total surface area of article = 220 + 154

= 374 cm2

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