The surface area of the prop is 36 times the surface area of the model.
What is an area?
An area is the amount of space occupied by the two dimensional shape or object.
The surface area of sphere = 4π(radius)²
The sphere has diameter of 36 inches, hence radius = 18 (36/2). Hence:
The surface area of sphere = 4π(18)² = 1296π in²
The sphere model has diameter of 6 inches, hence radius = 3 (6/2). Hence:
The surface area of sphere model = 4π(3)² = 36π in²
Surface area of sphere / surface area of model = 1296π in² / 36π in² = 36
The surface area of the prop is 36 times the surface area of the model.
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