A pot is made from a hollow sphere of inner radius 20 cm by cutting its upper portion horizontally. The height of the pot is 30 cm. What is the angle made by the line joining the centre of the sphere and any point on the rim of the circular opening with a vertical line passing through the centre?
A.π/3✓ Correct
B.π/4
C.π/6
D.π/12
Explanation
The point on the rim is at horizontal distance 10√3 from vertical axis, and vertical distance 10 above center. The line from center to rim point has length 20 (= radius). Angle θ with vertical: cos θ = 10/20 = 1/2, so θ = π/3.
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