The volume of the concrete block = volume of cuboid - volume of cylinder = 22,476.11 cm³.
What is the Volume of a Cylinder?
Volume of cylinder = πr²h, where h is the height of the cylinder and r is the radius.
What if the Volume of a Cuboid?
Volume of a cuboid = length × width × height
Thus:
The volume of the concrete block = volume of cuboid - volume of cylinder
= length × width × height - πr²h
Substitute
= 90 × 15 × 20 - π × 4² × 90
= 27,000 - 4,523.89
= 22,476.11 cm³
Therefore, the volume of the concrete block = volume of cuboid - volume of cylinder = 22,476.11 cm³.
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