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SAT Math Practice Question #39114 - SATify | SATify

#39114

spatial reasoning

measurement

approximation

arithmetic

formulas

spheres

cubes

3d shapes

3d geometry

volume

geometry

hard

90 sec

Calculator OK

A solid sphere is perfectly inscribed within a cube with edge length $s$ . Which of the following expressions represents the volume of the space in the cube not taken up by the sphere?

A.

$s^{3} - \frac{1}{3} π s^{3}$

B.

$s^{3} - \frac{4}{3} π s^{3}$

C.

$s^{3} - \frac{1}{8} π s^{3}$

D.

$s^{3} - \frac{1}{6} π s^{3}$