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Question

Question 9
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.

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Solution

Given- Radius of cylinder = 3.5 cm and height = 10 cm
Total surface area of Article = Curved surface area of cylinder + Curved surface area of two hemispheres
Curved surface area of cylinder
=2πrh
=2π×3.5×10
=70π cm2
Surface area of a hemisphere
=2πr2
=2π×3.52
=24.5π
Hence, Total surface area of article = 70π+2×(24.5π)
=70π+49π
=119π
=119×227=374 cm2


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