Question

5.6% CompleteToolbox 55.6% complete This is a Single Choice Question; skip ahead to question content A B C D E Confirm 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? 0.09L 3.14L 6.28L 12.56L 150.72L

Answer 1

Answer: V = 0.09L feet^3

Explanation:

The tubing has the shape of a cylinder. Formula for determining the volume of a cylinder is

Volume of cylinder = πr^2h

Where π = 22/7 or 3.14

r = the inner radius of the drainage tubing. It is given as 2 inches. We would convert the 2 inches to feets

If 12 inches = 1 foot,

2 inches will be 2/12 inches

h = height of the cylinder and it is replaced by L in feets. L is the length of the cut drainage tubing.

An expression for the volume of L feets of drainage tubing will be

V = πr^2L

= 3.14 × (2/12)^2 × L

= 3.14 × 4/144 × L

V = 0.087L feet^3

V = 0.09L feet^3