Answer:
Volume of cylinder(V) is given by:
[tex]V = \pi r^2h[/tex] ....[1]
where, r is the radius of the cylinder and h is the height of the cylinder
From the diagram:
Diameter of a pipe (d) = 10 cm
height of the pipe(h) = 2m
Use conversion:
1 m = 100 cm
then
2m = 200 cm
⇒h = 200 cm
Since, a pipe is in the form of cylinder.
We have to find the volume of a pipe.
We know that:
[tex]d = 2r[/tex]
⇒[tex]10 = 2r[/tex]
Divide both sides by 2 we get;
5 = r
or
r = 5 cm
Substitute the given values and use π = 3.14. in [1] we have;
[tex]V = 3.14 \cdot 5^2 \cdot 200[/tex]
Simplify:
[tex]V = 15,700 cm^3[/tex]
Therefore, the volume of a pipe in cm³ is, 15700
