Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide

Question

10 days ago

8

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?

Mathematics

2 answers:

Inessa [3.9K] · Answer 1 · 2026-02-23T14:35:40+03:00

Answer:

$0.09 L$ cubic feet

Step-by-step explanation:

We know that

The inside tubing radius is 2 inches.

The task is to establish the volume expression for L feet of drainage tubing in cubic feet.

Tube length equals L feet.

1 foot = 12 inches

$2 in=\frac{2}{12}=\frac{1}{6}$ feet

Given that the formula for the volume of a cylinder is $\pi r^2h$

Where r is the cylinder's radius

h is the cylinder's height.

By substituting the respective values into the formula, we obtain:

Volume of drainage tubing = $3.14\times (\frac{1}{6})^2\times L$

Volume of drainage tubing = $0.09L$ cubic feet

This is the needed expression for the volume of L feet of drainage tubing.

Leona [4.1K] · Answer 2 · 2026-02-23T14:36:34+03:00

Answer: $\frac{1}{36}\pi L$

Step-by-step explanation:

The volume of a cylinder is calculated using the formula:

$V=\pi r^2h$

In which "r" represents the radius and "h" is the height.

Convert inches to feet. Given that $1\ ft=12\ in$ , the result is:

$(2\ in)(\frac{1\ ft}{12\ in})=\frac{1}{6}\ ft$

Therefore, you can determine:

$r=\frac{1}{6}\\\\h=L$

After substituting these values into the formula and simplifying, the result is:

$V=\pi(\frac{1}{6})^2L\\\\V=\frac{1}{36}\pi L$

Consequently, the equation representing the volume of L feet of drainage tubing, in cubic feet, is:

$\frac{1}{36}\pi L$