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Approximately how many times as great is the volume of the grapefruit as the volume of the lime? A. About 10 times as great. B. About 4 times as great. C. About 28 times as great. D. About 8 times as great.
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Approximately how many times as great is the volume of the grapefruit as the volume of the lime?

A. About 10 times as great.
B. About 4 times as great.
C. About 28 times as great.
D. About 8 times as great.

User Andrew Brooke
by
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2 Answers

4 votes
About four times as great
User Kashahkashah
by
8.4k points
3 votes
Volume of a hemisphere = 2/3πr^3
Volume of the grapefruit = 2/3π(5)^3 = 2/3π(125) = 250/3π
Volume of the lime = 2/3π(3)^3 = 2/3π(27) = 18π

Volume of grapefruit is 250/3π / 18π = 4.6 = about 4 times as great as the volume of the lime.
User Carlos Paulino
by
8.3k points
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