Source: Warhammer Fantasy: 4th Edition

Cannons
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Cannons are dangerous if sometimes unpredictable weapons whose manufacture is limited to a few groups of human and Dwarf experts. When they work cannons can shatter the most determined enemy, pouring shot into his massed formations, levelling his cities and toppling huge monsters. But cannons often go wrong. Weaknesses in the casting methods can leave minute cracks or other deficiencies which cause them to explode when fired. Gunpowder can fail to ignite or explode prematurely. Despite the occasional spectacular accident, cannons are extremely deadly weapons that have been instrumental in winning more than one battle on behalf of their users.

Cannons are fired in the shooting phase along with other missile weapons. To shoot your cannon first turn it on the spot so that it points towards your intended target. Now declare how far you wish to shoot - eg 24", 30", 32" etc. The ball travels the distance you have nominated, plus the score of the Artillery ,dice. Roll the Artillery dice, and add the score to the distance you have declared. The ball travels the total distance towards the target, and will land short, pass straight over, or hit depending on how accurately you have guessed the range and what effect the dice has. Remember the dice will always add at least 2" to your estimate, and can add up to 10", so you should aim a few inches short of your target.

Once you have estabished where the cannon ball hits place a small coin or other marker directly over the spot. The cannon ball does not stop where it hits the ground, but bounces straight forward and cuts a line through any targets in the way. To determine how far the ball bounces roll the Artillery dice again and mark the spot where the ball comes to land. Any models between the points where the ball strikes the ground and where it eventually comes to land are hit by the flying cannon ball. The diagram below shows how this works.

Any model struck by a cannon ball takes a strength 10 hit resolved in the normal manner. If the cannon ball wounds its target then it causes not 1 wound but D4 or D6 depending on the size of the cannon. As most models have only one wound anyway it will not be necessary to roll this extra dice, but it is important when it comes to rolling for heroes, big monsters, and engines of war which can take several wounds. Wounds caused by cannon shot cannot be saved by armour. No saving throw is allowed.

For example: You are firing a cannon at a unit of Goblins in front of you. You make your guess and declare that you are "aiming 12" directly towards the middle of that Goblin unit." Having made your guess you roll the Artillery dice and score 4, which equals 4". This makes a total of 16". Measure 16" towards the Gobins and place a marker where the ball hits. If you have guessed well this will be just in front of them. The ball now bounces forward the score of the Artillery dice. This time you roll an 8 and the ball bounces straight through the Goblin unit bitting all the models in the way.

cannon
Estimate the distance to the target and add the result of the artillery dice roll. This is where the cannon ball lands. Any model lying under the path of the bouncing ball takes a S10 hit and D4 or D6 wounds.