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Mathematics · 2024 · 3 marks
CBSE 2024 · Region 1 · Set 3 · Q27
The inner and outer radii of a hollow cylinder surmounted on a hollow hemisphere of same radii are 3 cm and 4 cm respectively. If height of the…
The inner and outer radii of a hollow cylinder surmounted on a hollow hemisphere of same radii are $\displaystyle 3$ cm and $\displaystyle 4$ cm respectively. If height of the cylinder is $\displaystyle 14$ cm, then find its total surface area (inner and outer).
Marking-scheme solution
Total surface Area = Inner CSA + Outer CSA + Area of ring
\[\begin{aligned}
& =\left[2 \times \frac{22}{7} \times 3 \times(3+14)\right]+[2 \\
& =\frac{2244}{7}+\frac{3168}{7}+22 \\
& =\frac{5566}{7} \mathrm{~cm}^{2} \text { or } 795.14 \mathrm{~cm}^{2} \text { approx. }
\end{aligned}
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