Question

7) To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches long?
a.8245.7 in3
b.17367.6 in3
c.29321.5 in3
d.41225.4 in3

Answer 1

Volume of a sphere = 4/3 πr³

Volume of a sphere with radius 10 inches = 4/3π(10)³ in³

Volume of a sphere with radius 20 inches = 4/3π(20)³ in³

Volume added = 4/3π(20)³ - 4/3π(10)³ = 29321.5 in³ (nearest tenth)


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Answer: Volume = 2932`.5 in³ (Answer C)
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