Question

Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide customers with the volume of their tubing because they need to fill tubing with gravel as they install it. The tubing’s inside radius is 2 inches. Which of the following is an expression for the volume of L feet of drainage tubing, in cubic feet?

Answer 1

Volume of L feet of drainage tubing is given as, 0.087L cubic feet.

• The capacity of a cylinder, which determines how much material it can carry, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in the subject of geometry to determine how much of any quantity, whether liquid or solid, may be immersed in it uniformly. A cylinder is a three-dimensional structure having two parallel, identical bases that are congruent.
• The amount of unit cubes (cubes of equal length) that can fit within a cylinder is its volume. It is the space the cylinder occupies, just as the space occupied by any three-dimensional object is its volume.

Here, according to the given information, the radius of the tubing is given as 2 inches or $\frac{2}{12} = \frac{1}{6}$ feet.

Also, the height of the tubing is given as, L feet.

Then, volume of L feet of the tubing = $\pi (\frac{1}{6} )^{2} L = \frac{\pi }{36} L = 0.087L$ cubic feet.

Hence, volume of L feet of drainage tubing is given as, 0.087L cubic feet.

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