A coustomer wants to make a teepee in his back yead for his kids. He plans on using PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall. Howlong should the PVC plumbing pipe be?
How many upright supports does he want to use? Is he using any PVC pipe for the base?
To calculate the length of the PVC plumbing pipe needed for the teepee supports, we can use a bit of geometry. Let's break it down step by step:
Step 1: Determine the diagonal length of the teepee's base:
Since the teepee is going to have a diameter of 12 feet, the base will have a radius of 6 feet. Using the Pythagorean theorem, we can calculate the length of the diagonal (d) using the base radius (r) and the height (h) of the teepee:
d^2 = r^2 + h^2
Substituting the values, we have:
d^2 = 6^2 + 8^2
d^2 = 36 + 64
d^2 = 100
d = √100
d = 10 feet
Step 2: Calculate the length of each pipe segment:
Since the teepee shape is formed by connecting multiple poles in a circle, the length of each pipe segment will be equal to the circumference of a circle with a diameter equal to the diagonal length of the teepee's base (d).
The circumference of a circle is calculated using the formula:
C = πd
Substituting the value of d, we get:
C = π * 10
C ≈ 31.42 feet
Therefore, the length of the PVC plumbing pipe needed for each support should be approximately 31.42 feet.