A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If…

CBSE Class 10 Maths PYQ · Surface Areas & Volumes · Surface Area · 5 Marks · March 2024 · Standard

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235 Marks · March 2024 · Standard
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is $5.8 \text{ cm}$ and its base is of radius $2.1 \text{ cm}$, find the total surface area of the article.
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$$\begin{aligned}& CSA \text{ of cylinder } = 2 \times \frac{22}{7} \times 2.1 \times 5.8 \\ & = 76.56 \text{ cm}^2 \\ & CSA \text{ of two hemisphere } = 4 \times \frac{22}{7} \times 2.1 \times 2.1 \\ & = 55.44 \text{ cm}^2 \\ & \text{Total Surface Area of article } = 76.56 + 55.44 = 132 \text{ cm}^2\end{aligned}$$
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