I see that you've uploaded an image containing three geometry-related word problems, with some multiple-choice options. Let's go through each of them.

Question 1:

Problem:
A room is 15 feet tall by 88 feet long by 41 feet wide. What is the volume of the room in cubic feet?

Solution:
To find the volume of a rectangular space (like a room), we use the formula for volume: $V = \text{length} \times \text{width} \times \text{height}$

Substituting the given values: $V = 88 \, \text{feet} \times 41 \, \text{feet} \times 15 \, \text{feet} = 54,120 \, \text{cubic feet}$

So the correct answer is 54,120 cubic feet.

Question 2:

Problem:
A pipe is 1 mile long (1 mile = 5280 feet). What is the volume of the pipe if its diameter is 48 inches? (Use $\pi \approx 3.1416$.)

Solution: This is the volume of a cylinder. The formula for the volume of a cylinder is: $V = \pi \times r^2 \times h$ Where:

• $r$ is the radius of the pipe,
• $h$ is the height (or length in this case) of the cylinder.

1. The diameter is 48 inches, so the radius is $\frac{48}{2} = 24$ inches. Convert the radius to feet:
   $24 \, \text{inches} = 2 \, \text{feet}$
2. The length of the pipe is 1 mile = 5280 feet.

Now, apply the formula: $V = 3.1416 \times (2)^2 \times 5280 = 3.1416 \times 4 \times 5280 = 66,483.84 \, \text{cubic feet}$

So the correct answer is 66,483.84 cubic feet.

Question 3:

Problem:
A pipe that is 25 feet long with a diameter of 48 inches has a volume of how many cubic feet?

Solution:
Again, we are dealing with the volume of a cylinder. The formula remains the same: $V = \pi \times r^2 \times h$

1. The diameter is 48 inches, so the radius is 24 inches, or 2 feet.
2. The length of the pipe is 25 feet.

Now, apply the formula: $V = 3.1416 \times (2)^2 \times 25 = 3.1416 \times 4 \times 25 = 314.16 \, \text{cubic feet}$

So the correct answer is 314.16 cubic feet.

If you'd like more detailed explanations or have any specific questions, feel free to ask!

Here are 5 additional questions that expand on this:

1. How do you calculate the surface area of a cylinder instead of its volume?
2. How can the formula for volume be adapted for irregularly shaped rooms?
3. What is the volume of a pipe with a diameter of 36 inches and a length of 2 miles?
4. If the room's dimensions are doubled, how does that affect the volume?
5. How would you convert the volume of the room into gallons?

Tip: For cylindrical volumes, always ensure that the diameter is converted to the correct units before calculating.