Answer:
C. 271.44 [tex]mm^3[/tex]
Step-by-step explanation:
We need to first find the volume of the pipe, then find the volume of the hole and then subtract the volume of the hole from the volume of the pipe.
The diameter of the pipe is 8.4 mm. This means its radius is:
8.4/2 = 4.2 mm
The height of the pipe is 10 mm
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius
h - height
Therefore, the volume of the cylinder without the hole is:
[tex]V = \pi * 4.2^2 * 10\\\\V = 554.18 mm^3[/tex]
The diameter of the hole is 6 mm. Its radius is:
6/2 = 3 mm
The volume of the hole is:
[tex]V = \pi * 3^2 * 10\\\\V = 282.74 mm^3[/tex]
The volume is:
554.18 - 282.74 = 271.44 [tex]mm^3[/tex]
