To determine the amount of water drawn out from the tank, we need to calculate the volume difference before and after the water level is lowered.

The initial volume of the tank can be calculated by multiplying the length, width, and depth of the tank:

Volume_initial = Length x Width x Depth

= 15 m x 6 m x 10 m

= 900 m³

When the water level is lowered by 1 meter, the new depth becomes 10 m - 1 m = 9 m.

The new volume of the tank can be calculated using the new depth:

Volume_new = Length x Width x New Depth

= 15 m x 6 m x 9 m

= 810 m³

To find the amount of water drawn out, we need to subtract the new volume from the initial volume:

Volume_drawn_out = Volume_initial - Volume_new

= 900 m³ - 810 m³

= 90 m³

Since 1 cubic meter is equivalent to 1000 liters, we can convert the volume drawn out into liters:

Volume_drawn_out_liters = Volume_drawn_out x 1000

= 90 m³ x 1000

= 90,000 liters

Therefore, the amount of water drawn out from the tank is 90,000 liters. The correct answer is option B.