SOLUTION: A pipe of thickness 1/2cm has an external diameter of 12 cm. Find the volume of 2.4m of pipe.
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Question 802271: A pipe of thickness 1/2cm has an external diameter of 12 cm. Find the volume of 2.4m of pipe.
Found 3 solutions by solver91311, rothauserc, DrBeeee:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Since you provided the pipe thickness, I presume you want the volume CAPACITY of the pipe rather than the volume OCCUPIED by the piece of pipe.
The radius of the inside of the pipe must be 6 cm minus 1/2 cm, so 5.5 cm.
Plug in 5.5 for the radius and 2400 for the height and do the arithmetic. Round to the nearest 100 
because your least precise given measurement is given to the nearest 100 cm.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The inside diameter of the pipe = 12 -1/2 -1/2 = 11 cm
radius of the inside is 5.5 cm
length of pipe is 2.4 * 100 = 240 cm
Therefore the volume of the pipe is pi*(5.5)^2*(240) = 22807.96 cubic cm's
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Let r = inside radius of the pipe, cm
Let h = height (length) of the pipe, cm
Let B = inside area of the end of the pipe, cm^2
Let V = the volume of the pipe, cm^3
Use the formula
(1) V = B*h or
(2)
The inside diameter is the outside diameter of 12cm minus twice the thickness, 0.5cm, of the pipe. The inside radius is one half of the inside diameter or
(3) r = (12-2*0.5)/2 or
(4) r = (12-1)/2 or
(5) r = 11/2 or
(6) r = 5.5
The area of the pipe's cross-section is
(7) or
(8) or
(9)
The height, h, of the pipe is the same as the length or 2.4m, which converts to 240cm (all length units must be the same). Substituting B and h into (1) yields
(10) or
(11) or
(12) or
(13)
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