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Answer :
Answer: 205367.6 cm^3
Step-by-step explanation:
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Final answer:
The volume of a sphere with a radius of 36.6 cm is approximately 204574.3 cubic centimeters when rounded to the nearest tenth.
Explanation:
To find the volume of a sphere with a radius of 36.6 cm, we use the formula V = (4/3)πr³, where V is the volume and r is the radius. Plugging in the values:
V = (4/3)π(36.6 cm)³
Calculating this gives us:
V ≈ (4/3)π(36.6 cm × 36.6 cm × 36.6 cm)
V ≈ (4/3)π(48639.96 cm³)
V ≈ 204574.319 cm³
When we round this to the nearest tenth, we get:
V ≈ 204574.3 cm³
So the volume of the sphere is approximately 204574.3 cubic centimeters when rounded to the nearest tenth.
