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.
Open in App
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=10cmandr=3.5cm
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=374cm2
Hence, the total surface area of the article is 374cm2.