Find the total surface area of a solid hemisphere of diameter 14 cm.

The correct answer is Option (2) → 462 cm²

A solid hemisphere has two surfaces: the curved half of a sphere, \(2\pi r^{2}\), and the flat circular base, \(\pi r^{2}\). So its total surface area is \(3\pi r^{2}\).

• Radius \(r=\frac{14}{2}=7\) cm

• Total surface area \(\displaystyle=3\times\frac{22}{7}\times7\times7=462\,\mathrm{cm^{2}}\)

Tip: Option (1), 308 cm², is the curved surface alone (\(2\pi r^{2}\)); the word “solid” tells you to add the flat base as well.