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10 February, 02:30

A sphere sits inside a cube and touches each

side. The cube is 10 feet on each side.

What is the volume of the cube surrounding

the sphere to the nearest tenth?

+1
Answers (2)
  1. 10 February, 02:35
    0
    Step-by-step explanation:

    side of cube=10 ft

    volume of cube=10³=1000 ft³

    diameter of sphere=10 ft

    radius of sphere=10/2=5 ft

    volume of cube = (4/3) πr³ = (4/3) π*5³=500 π/3

    reqd. volume=1000-500 π/3=500 (2-π/3) = 500 (6-π) / 3≈476.40 ft³
  2. 10 February, 02:59
    0
    About 475.4 (whatever unit) cubed
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