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Answer:
Step-by-step explanation:
The volume of a hemisphere is given by the formula ...
V = (2/3)πr³
Then the radius is ...
r = ∛(3V/(2π))
r = ∛(3·1071.79/(2·3.14)) ≈ ∛512.00 ≈ 8.00
The radius of Sarah's pond is 8 inches.
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We can see from the above that the radius is proportional to the cube root of the volume. If Sarah wants to double the volume, she needs to multiply the radius by ∛2 ≈ 1.260.
The new radius will be 8∛2 ≈ 10.08 inches.