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.

Answers (1)

Let the cylinder height (h) = 10cm and diameter = 2r = 7cm

Now, 

        Total surface Area of the article =

                                                      $$2 pi rh + 4pi r^2 $$\$$ $$ = 2pi (3.5)(10) + 4pi (3.5)^2$$ \$$ $$ = 70pi + 49pi $$\$$ $$ = 119 	imes frac227$$\$$ $$ = 17 	imes 22 $$\$$ $$ =374$$

Hence, the total surface area of the article  $$ =374m^2$$

 

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