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A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig. 2. 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.
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Given: Height of the cylinder, $h=10\ cm$ and radius of the base, $r=3.5\ cm$. 

To do: To find the total surface area of the article.

Solution:

Let r be the radius of the base of the cylinder and h be its height.

 Then,

 Total surface area of the article
$=$Curved surface area of the cylinder $+ 2$ [surface area of a hemisphere]

                                                    $=2\pi rh+2( 2𝜋r^{2})$

                                                    $=2\pi r( h+2r)$

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

                                                    $=374 cm^{2}$
 

Hence,  Total surface area of the article$=374\ cm^{2}$

Updated on: 10-Oct-2022

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