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Math homework is fast.
1. To calculate the height of a metal cone, the volume of the cone must be calculated first.

The volume of a cone can be obtained by increasing the volume of water.

The base area of the cone is (40/2)*(40/2)*π=400π.

The bottom area of glass is (80/2)*(80/2)*π= 1600π.

The volume of water rising, that is, the volume of the cone, is: (80/2)*(80/2)*π*3=4800π.

The height of the cone is 4800π/400π= 12.

It is meaningful to know that the original bottom of this cuboid is square.

Let the base length of a cuboid be x and the height be x-2.

The increased surface area is 4 sides with a height of 2, that is, 2 * x * 4 = 56 and x = 7.

So the height of the cuboid is 5.

So the volume of a cuboid is 7*7*5=245.