What is the approximate volume of the interior of an 8-foot long cement pipe with a wall thickness of 3 inches and an outside diameter of 24 inches?

To find the approximate volume of the interior of the cement pipe, we first need to understand the dimensions involved.

1. Outer diameter and radius: The problem states that the outside diameter of the pipe is 24 inches. Therefore, the outside radius is half of that, which is 12 inches.

2. Inner diameter and radius: The wall thickness is given as 3 inches. This means we need to subtract twice the wall thickness (since it is present on both sides of the pipe) from the outer diameter to obtain the inner diameter. So:

• Inner diameter = Outer diameter - 2 × Wall thickness

• Inner diameter = 24 inches - 2 × 3 inches = 24 inches - 6 inches = 18 inches

• Inner radius = Inner diameter / 2 = 18 inches / 2 = 9 inches

3. Height of the pipe: The length of the pipe is provided as 8 feet. To maintain consistency in units, we convert feet to inches (1 foot = 12 inches):

• Height of the pipe = 8 feet × 12 inches/foot = 96 inches

4. Calculating the volume: