The volume of the cast iron pipe will be equal to 253.29 in³.
Volume of Hollow Cylinder
The volume of hollow cylinder formula is: V = π (R² -r²)h, where:
R= radius of outer diameter (OD)
r= radius of inner diameter (ID)
h= height
First you need to find the radius of this cylinder.
1- Find r - radius of inner diameter
For this, you should apply the formula: ID=OD-2wt, where:
ID= inner diameter = ?
OD= outer diameter= 11 in
wt= thickness= 0.25 in
Then, ID=OD-2wt= 11-2*0.25=11-0.5=10.5 in.
If inner diameter is equal to 10.5 in, the inner radius will be [tex]\frac{10.5}{2} =5.25[/tex] in.
2- Find R - radius of outer diameter
If outer diameter is equal to 11 in, the inner radius will be [tex]\frac{11}{2} =5.5[/tex] in.
3- Find the volume of hollow cylinder
V = π (R² -r²)h
V = π (5.5² -5.25²)30
V=30π(30.25-27.5625)
V=30π(2.6875)
V=80.625π
V=253.29 in³
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