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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 grea…

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 grea…
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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
7.0k points

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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