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  • 03-06-2021
  • Mathematics
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help finding the volume

help finding the volume class=

Respuesta :

reinhard10158
reinhard10158 reinhard10158
  • 03-06-2021

Answer:

1651.06 m³

Step-by-step explanation:

the volume of the whole block is base area times height :

Vb = 10 × 12 × 18

but we have to deduct the volume of the removed central cylinder.

the volume of the cylinder is again base area times height :

Vc = pi×r² × 18 = pi×3² × 18 = pi×9×18

so, the volume of the object is

V = Vb - Vc = 2160 - 508.94 = 1651.06 m³

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