Jimmy pumps 288,000 cubic centimeters of air into a spherical balloon. What is the radius of the balloon?
1 answer:
Answer:
r ≈ 45. 10 cm
Step-by-step explanation:
Jimmy pumps 288, 000 cm³ of air into a spherical balloon. The radius can be found by using the volume of a sphere formula.
volume of a sphere = 4/3πr³
where
r = radius
volume = 288000 cm³
288000 = 4/3 × π × r³
288000 = 4/3 × 3.14 × r³
12.56r³ = 288000 × 4
12.56r³ = 1152000
divide both sides by 12.56
r³ = 1152000/12.56
r³ = 91719.745223
r = ∛91719.745223
r = 45.0976882 cm
r ≈ 45. 10 cm
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