The equation for luminous flux is given as P = 4[tex] \pi [/tex][tex] r^{2} [/tex]E
where P is the luminous flux, r is the distance and E is the illumination. The unit for P is lumen, E is lux and r is in meters. Substituting the given to the equation:
P = 4[tex] \pi [/tex][tex] r^{2} [/tex]E
P= 4[tex] \pi [/tex][tex](3)^{2} [/tex](9.35) = 1057.46 lumens (lm)
The total luminous flux is equal to 1057.46 lumens (lm).