Calculate the Volume in Cubic Feet of a section of drainage pipe that measures 8 feet in length and 24 inches in diameter. I know that all measurements must be un the same units.
So there re 12 inches in 1 foot...so it would be 12*8=96 inches
3.14*12=37.68*12=452.16*96=43407.36
then I have to convert to cubic feet.
43407.36^1728= 25.12 cubic feet
IS this correct
It seems to me that it's easier to convert the radius to 1 foot and then solve the problem.
How many cubic feet in a foot?
There are no cubic feet in a foot. However, there are 12^3 (12 * 12 * 12) cubic inches in a cubic foot.
For the volume of a drainage pipe (which I assume is circular), you need to multiply the area of a circle (Pi * r^2) by the length. It doesn't look like you have done that.
I hope this helps a little more. Thanks for asking.
To calculate the volume in cubic feet of a section of drainage pipe, you need to use the formula for the volume of a cylinder. The formula is V = πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14, r is the radius, and h is the height.
First, you mentioned that the diameter is 24 inches. To find the radius, you need to divide the diameter by 2. So, the radius would be 24 inches / 2 = 12 inches.
Next, you mentioned that the length is 8 feet. Since all measurements should be in the same unit, we need to convert it to inches. Since there are 12 inches in 1 foot, the length in inches would be 8 feet * 12 inches/foot = 96 inches.
Now, we can substitute the values into the formula:
V = π(12 inches)^2 * 96 inches.
Simplifying this calculation:
V = 3.14 * (12 inches)^2 * 96 inches.
V ≈ 3.14 * 144 inches^2 * 96 inches.
V ≈ 3.14 * 20,736 inches^3.
Now, to convert inches^3 to cubic feet, we need to divide the result by 12^3 (since there are 12 inches in 1 foot):
V ≈ (3.14 * 20,736 inches^3) / (12 inches/foot)^3.
V ≈ 3.14 * 20,736 inches^3 / 1728 cubic inches/foot^3.
V ≈ 64,974.24 cubic inches / 1728 cubic inches/foot^3.
Finally:
V ≈ 37.68 cubic feet.
Therefore, the volume of the section of drainage pipe is approximately 37.68 cubic feet.