Given: Total height = 20 cm, Diameter = 7 cm → Radius (r) = 3.5 cm
The solid has a cylinder with two hemispherical ends.
Height of cylinder = Total height − 2 × radius of hemisphere
$$= 20 - 2 \times 3.5 = 13 \text{ cm}$$
Total Volume = Volume of cylinder + Volume of 2 hemispheres
$$= \pi r^2 h + 2 \times \frac{2}{3}\pi r^3 = \pi r^2 h + \frac{4}{3}\pi r^3$$
$$= \frac{22}{7} \times (3.5)^2 \times 13 + \frac{4}{3} \times \frac{22}{7} \times (3.5)^3$$
$$= \frac{22}{7} \times 12.25 \times 13 + \frac{4}{3} \times \frac{22}{7} \times 42.875$$
$$= 500.5 + 179.67 = 680.17 \text{ cm}^3 \approx 680.17 \text{ cm}^3$$
Total volume of the solid ≈ 680.17 cm³
Source: Chapter 12, Section 12.3 — Volume of a Combination of Solids
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