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.
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.