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22 March, 16:26

A ball of radius 13 has a round hole of radius 6 drilled through its center. find the volume of the resulting solid.

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  1. 22 March, 18:35
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    The radius of the ball is 13 units.

    Its volume is

    V₁ = (4π*13³) / 3

    = 9.2028 x 10³ units³

    The drilled hole has the approximate shape of a solid cylinder with radius = 6 and length = 26. Its volume is

    V₂ = π * (6²) * 26

    = 2.9405 x 10³ units³

    The volume of the resulting solid is

    V₁ - V₂ = 6.2622 x 10³

    Answer: 6.2622 x 10³ units³
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