A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in given 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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total surface area of wooden particle=c.s.a of cylinderand 2(csa of hemisphere) and answer is 374
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Given
Height of the cylinder = 10 cm
Radius of the base of the cylinder = 3·5 cm
Total surface area of article
= C.S.A. of cylinder + 2 × Area of hemisphere
= 2πrh + 2 × 2π ²
= 2π(h + 2r)
= 2 × 22/7 × 3·5 (10 + 2 × 3·5)
= 2 × 22 × 0·5 (10 + 7)
= 44 × 0·5 × 17
= 748 × 0·5
Total surface area of article
= 374 cm²
Height of the cylinder = 10 cm
Radius of the base of the cylinder = 3·5 cm
Total surface area of article
= C.S.A. of cylinder + 2 × Area of hemisphere
= 2πrh + 2 × 2π ²
= 2π(h + 2r)
= 2 × 22/7 × 3·5 (10 + 2 × 3·5)
= 2 × 22 × 0·5 (10 + 7)
= 44 × 0·5 × 17
= 748 × 0·5
Total surface area of article
= 374 cm²
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