A cannon ball through my kite

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I was flying a kite with my son. Surprisingly it is a traditionally kite-shaped kite. The two long ends are 13 inches, the two short ends are 11 inches in length. While flying the kite a mysterious cannon ball shoots through my kite. The cannon ball went through the kite such that it hits all four edges at one point only. How big is the cannon ball (assume it is a sphere)?

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Posted · Report post

Assuming the kite was vertically and horizontally symmetric,

because you don't say where the sticks cross,

The cannon ball had a radius of 4.198 inches and a volume of about 310 cubic inches.
post-1048-0-34813700-1362171987_thumb.gi

If the kite was not vertically symmetric, and traditional kites are not,

the cannon ball would have somewhere about 4% shorter radius,

about 3.7 inches and a volume about 212 cubic inches.

post-1048-0-43175700-1362171996_thumb.gi

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Posted · Report post

Assuming the kite was vertically and horizontally symmetric,

because you don't say where the sticks cross,

The cannon ball had a radius of 4.198 inches and a volume of about 310 cubic inches.

attachicon.gifkite cannon ball centered.gif

If the kite was not vertically symmetric, and traditional kites are not,

the cannon ball would have somewhere about 4% shorter radius,

about 3.7 inches and a volume about 212 cubic inches.

attachicon.gifkite cannon ball.gif

Bonanova, now if you can only employ your logic to the dog problem.
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