Answer:
a. External radius is 0.5 m.
b. Internal radius is 0.45 m.
c. Volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].
Step-by-step explanation:
a. It can be observed that the diameter of the pipe is 1 m.
External radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{1}{2}[/tex]
= 0.5
External radius = 0.5 m
b. Internal radius of the pipe can be determined by;
Internal radius = [tex]\frac{internal diameter}{2}[/tex]
But,
Internal diameter = 1 m - (2 x 0.05 m)
= 1 m - 0.10 m
= 0.9 m
Internal diameter = 0.9 m
So that,
Internal radius = [tex]\frac{0.9}{2}[/tex]
= 0.45
Internal radius = 0.45 m
c. Volume of concrete required = [tex]\pi[/tex][tex]r_{e} ^{2}[/tex]h - [tex]\pi[/tex][tex]r_{i} ^{2}[/tex]h
where [tex]r_{e}[/tex] is the external radius, and [tex]r_{i}[/tex] is the internal radius.
Volume of concrete required = [[tex]\frac{22}{7}[/tex] x [tex](0.5)^{2}[/tex] x 2.5] - [[tex]\frac{22}{7}[/tex] x [tex](0.45)^{2}[/tex] x 2.5]
= 1.9643 - 1.5911
= 0.3732
The volume of concrete necessary to make one pipe is 0.37 [tex]m^{3}[/tex].
