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Which sphere has a volume of 0.288Pi in.3?
A sphere with radius 0.4 inches.
A sphere with radius 0.5 inches.
A sphere with radius 0.6 inches.
A sphere with radius 0.7 inches.

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Answer:

Step-by-step explanation:

Answer in the photo

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A sphere that has a volume 0.288π inches cube has a radius of 0.6 inches

Volume of a sphere

The volume of a sphere is described as follows:

volume of sphere  = 4 / 3 πr³

where

  • r = radius of the sphere

Therefore,

volume = 0.288π inches cube

Hence, the radius can be calculated as follows;

0.288π  =  4 / 3 πr³

divide both side by π

0.288 = 4 / 3r³

cross multiply

0.288 × 3 = 4r³

0.864 = 4r³

divide both sides by 4

r³ = 0.864 / 4

r = ∛0.216

r  = 0.6 inches

Therefore, a sphere that has a volume 0.288π inches cube has a radius of 0.6 inches

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