Mathematics
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the 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.
Mensuration
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Answer
Given,
Height of cylinder = 10 cm
From figure,
Radius of base of cylinder = Radius of hemisphere = r = 3.5 cm
From figure,
Total surface area of article = Curved surface area of cylinder + 2 × Curved surface area of each hemisphere
= 2πrh + 2 × 2πr2
= 2πr(h + 2r)
Substituting values we get :
Hence, the total surface area of the article is 374 cm2.
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