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Question

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the total surface of the article.
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Solution

Given:
Height of Cylinder, h=10 cm
Radius of Cylinder = Radius of Hemispheres =r =3.5 cm

Surface area of article =CSA of cylindrical part +2×CSA of hemispherical part
=2πrh+2×2πr2
=2π×3.5×10+2×2π×3.52
=70π+49π
=119π=119×227
=17×22
=374 cm2

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