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3 May, 11:34

A sphere with a radius of 5 cm fits inside a box. Every face of the box is tangent to the sphere. What is the ratio of the volume of the box to the volume of the sphere?

A.) 6 : pi

B.) 3 : 4pi

C.) 2 : 3pi

D.) 1 : 12pi

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Answers (1)
  1. 3 May, 15:32
    0
    Volume of box with side length of 5 = 5^3 = 125

    Volume of sphere = (4/3) * pi*5^3 = (4/3) pi * 125

    Ratio = 125 / (4pi/3) * 125 = 1 / (4pi/3) = 3 / (4pi)

    Answer: B
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