Find the curved surface area and the total surface area of a hemisphere of diameter 10 cm.

Given, diameter = 10 cm

Radius, r = $\dfrac{\text{diameter}}{2} = \dfrac{10}{2}$ = 5 cm.

Curved surface area of hemisphere = 2πr²

$= 2 \times \dfrac{22}{7} \times 5^2 \\[1em] = 2 \times \dfrac{22}{7} \times 25 \\[1em] = \dfrac{1100}{7} \\[1em] = 157.1 \text{ cm}^2.$

Total surface area of hemisphere = 3πr²

$= 3 \times \dfrac{22}{7} \times 5^2 \\[1em] = 3 \times \dfrac{22}{7} \times 25 \\[1em] = \dfrac{1650}{7} \\[1em] = 235.71 \text{ cm}^2.$

Hence, the curved surface area is 157.1 cm² and the total surface area is 235.71 cm².