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oee [108]
3 years ago
11

What is the volume of a hemisphere with a diameter of 57.2 in , rounded to the nearest tenth of a cubic inch?

Mathematics
1 answer:
rosijanka [135]3 years ago
5 0

Answer:

48,970.7 in³

Step-by-step explanation:

If the diameter is 57.2 in, then the radius is half that, or 28.6 in.

The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³.

Substituting 28.6 in for r, we get the final answer:  

(2/3)(3.14)(28.6)³ in³, or (to the nearest tenth of a cubic inch), 48,970.7 in³

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