(Sphere has a volume of 40 cubic meters and is reduced by a scale factor one-fourth. What is the volume of the smaller sphere?

Shivanie asked Sep 21, 2022

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5 votes

(Sphere has a volume of 40 cubic meters and is reduced by a scale factor

one-fourth. What is the volume of the smaller sphere?

Shivanie asked Sep 21, 2022

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15 votes

Answer:
$10\ m^3$

Explanation:

Given

The volume of Sphere is
$40\ m^3$

It is reduced by a scale factor of one-fourth i.e. Volume is reduced to one-fourth of the original volume

The new volume is given by

$\Rightarrow V_(new)=(V)/(4)=(40)/(4)\\\\\Rightarrow V_(new)=10\ m^3$

DasPete answered Sep 25, 2022

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