Volume is the amount of three-dimensional space enclosed by a closed surface. The volume of the solid is 342.655 cm³.
What is volume?
The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.
- The volume of Cylinder = πr²h
- The volume of Prism = Area of prism × h
The volume of the solid is the difference between the volume of the cylinder and the volume of the square prism.
[tex]\text{Volume of the solid} =\text{Volume of the cylinder}-\text{Volume of the square prism}[/tex]
[tex]\text{Volume of the solid} =(\pi r^2 h)-(a^2 h)[/tex]
We know that the radius of the cylinder is 4 cm while the length of the side of the square prism is 4 and the height of both is 10cm. therefore, substituting the values,
[tex]\text{Volume of the solid} =(\pi\times 4^2 \times 10)-(4^2 \times 10)[/tex]
[tex]=4^2\times10 (\pi -1)\\\\= 342.655\RM\ cm^3[/tex]
Hence, the volume of the solid is 342.655 cm³.
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