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Question

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 that a wooden article is made by scooping out a hemisphere each from the top and bottom of a solid cylinder with h=10 cm and r=3.5 cm

To find out: The total surface area of the article.

Total surface area of the article = Lateral surface area of cylinder + 2 × Curved surface area of hemisphere
We know that the lateral surface are of a cylinder =2πrh.
And the curved surface area of a hemisphere =2πr2.

TSA of article =2πrh+2×2πr2
2×227×72×10+2×2×227×(72)2
22×10+22×7
22(10+7)
22×17
TSA=374 cm2

Hence, the total surface area of the article is 374 cm2.

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