The inner and outer radii of a hollow cylinder surmounted on a hollow hemisphere of same radii are 3 cm and 4 cm…

CBSE Class 10 Maths PYQ · Surface Areas & Volumes · Surface Area · 3 Marks · March 2024 · Standard

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173 Marks · March 2024 · Standard

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 cylinder is $14$ cm, then find its total surface area (inner and outer).

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Total surface Area = Inner CSA + Outer CSA + Area of ring
$= [2\pi \times 3 \times (3+14)] + [2\pi \times 4 \times (4+14)] + [\pi \times (16-9)]$
$= \frac{2244}{7} + \frac{3168}{7} + 22$
$= \frac{5566}{7} \text{ cm}^2 \text{ or } 795.14 \text{ cm}^2 \text{ approx.}$