Find the area of the curved surface of the bowl of a spherical segment with a radius of 18cm is truncated so that the remainder forms a bowl of height 9cm, using the formula: Surface area = 2 × pi × R × h.
Given:
Radius, R = 18 cm
Height, h = 9 cm
Using the formula for the surface area of a spherical segment:
Surface area = 2 × π × R × h
Substitute the given values:
Surface area = 2 × π × 18 cm × 9 cm
Surface area = 2 × π × 162 cm²
Surface area = 324π cm²
Therefore, the area of the curved surface of the spherical segment bowl is 324π square centimeters.