Illuminance (lumens/area) of a hemispheric lamp: PPI Exam 1 Question 16

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akyip

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Hey guys,

PPI Exam 1 question 16 is about the illuminance of a hemispheric lamp. Now I know that illuminance E is basically lumens over area (E = lm / A), but...

In the solution to this problem, when calculating area A = 0.5A sphere = 0.5 * 4 * pi * r^2, why is the distance d between lamp and ground used in place of the radius of the sphere area A = 4 * pi * r^2?

Thanks for any input on this.

PPI Exam 1 Q 16.jpg

PPI Exam 1 S 16.jpg

 
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