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# 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 m, find the total surface area of the article.

Surface area of the article when it is ready = Curved surface area of cylinder + 2 × Curved surface area of hemisphere.

$$= \ 2 \pi rh \ + \ 2 \ × \ 2 \pi r^2 \ = \ 2 \pi r(h \ + \ 2r)$$

where r = 3.5 m and h = 10 cm

$$= \ 2 \ × \ \frac{22}{7} \ × \ 3.5 \ × \ (10 \ + \ 2 \ × \ 3.5)$$

$$= \ 2 \ × \ \frac{22}{7} \ × \ 3.5 \ × \ 17 \ = \ 374$$ cm2