A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the following 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.
( here they asked the total surface area of the article. they said that the two end was hemisphere and it was scooped away so the area of hemisphere should be subtracted from total surface area of the cylinder but they add both i dont know why plz explain me)
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Answered by
1
height=10 cm
radius=3.5cm
surface area of article=csa of cylinder+csa of 2 hemsiphere
2πrh+2×2πr2
2πr(h+2r)
2×22/7×35/10[10+3×3.5)cm2
22×17 cm2
tsa of article=374 cm2
radius=3.5cm
surface area of article=csa of cylinder+csa of 2 hemsiphere
2πrh+2×2πr2
2πr(h+2r)
2×22/7×35/10[10+3×3.5)cm2
22×17 cm2
tsa of article=374 cm2
Anonymous:
u cant understand my question????????????
Answered by
0
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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