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**How heat accelerate brood rearing.**

If we measure the brood area of 10 cm radius, 10 cm x 10 cm x pii 3,14 = 314 cm2

Then if heat add the radius to 15 cm, the area will be 15 cm x 15 cm x pii 3,14 = 707 cm2

So the brood area in one frame is 2,25 bigger.

But the whole brood area is a ball. Lets look the rise of volume of brood area.

4/3*3,14 * pii3 10x10x10 = 4 200

50% more to radius

4/3*3,14 * pii3 15x15x15 = 14 100

The bigger radius has 3,4 fold volume compared to smaller radius.

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