Answer: The height of the pan that he should use for the batter to completely fill the pan is 2.5 inches.
What is Volume?
From this interactive, formula for volume is V = l w h (volume equals length times width times height) and can also be written V = B h (volume equals the area of the base times the height).
The volume is equal to the product of the area and height of the shape.
Work:
Volume = Base Area x Height.
Given:
Base Area= 45 sq. inches
Volume= 112.5 cubic inches
So,
Volume= Base Area x Height
112.5 = 45 x Height
Height= 112.5 / 45
Height = 2.5 inches
Hence, the height of the pan that he should use for the batter to completely fill the pan is 2.5 inches.