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The DIAMETER of a sphere is doubled. What is the new volume of the sphere? A) 8/3πr3 B) 16/3πr3 C) 32/3πr3 D) 64/3πr3
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The DIAMETER of a sphere is doubled. What is the new volume of the sphere?

A)
8/3πr3
B)
16/3πr3
C)
32/3πr3
D)
64/3πr3

User Scvnc
by
8.2k points

1 Answer

5 votes
we know that
[volume of a sphere]=(4/3)*pi*r³
if the diameter is doubled
then
the radius also is doubled

the new volume=(4/3)*pi*(2r)³------> 8*[(4/3)*pi*r³]-------> (32/3)*pi*r³

the answer is C)
32/3πr3
User Balazs Nemeth
by
8.9k points
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