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The problem you're tackling asks about creating a cylindrical tank from a rectangular steel sheet of dimensions 70 feet by 25 feet, where the 25-foot side will be the height of the tank. The task is to find the volume of the tank in cubic feet.

### Key Information:
- **Height** of the tank (h): 25 feet (since the 25' edge is used for the wall height)
- **Circumference** of the tank (C): 70 feet (the 70' edge wraps around to form the cylinder's circumference)

We can start by calculating the **radius (r)** of the tank using the formula for the circumference of a circle:
\[
C = 2\pi r
\]
Rearranging for \(r\):
\[
r = \frac{C}{2\pi} = \frac{70}{2\pi}
\]

After finding the radius, we can use the formula for the volume of a cylinder:
\[
V = \pi r^2 h
\]
Substituting the values for \(r\) and \(h\), we can calculate the volume.

Let me compute that now.The volume of the cylindrical tank is approximately **9748.24 cubic feet**, which corresponds to option **b) 9748.24 ft³**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you derive the formula for the volume of a cylinder?
2. What would happen if the 70' edge was used for the height instead of the 25' edge?
3. How would the volume change if the thickness of the steel sheet were taken into account?
4. How does changing the radius affect the volume of a cylinder, if the height remains constant?
5. Can you calculate the surface area of this cylindrical tank?

**Tip:** When dealing with cylindrical shapes, always remember the relationship between the circumference and the radius: \( C = 2\pi r \). This helps find the radius easily when the circumference is given.

You are asked to build a cylindrical tank from a 1/4" thick rectangular steel sheet that is 70' x 25'. You must use the 25' edge of the sheet for the wall height of the tank. How many cubic feet will the tank hold?

Learn how to calculate the volume of a cylindrical tank using a 70' x 25' steel sheet. This problem demonstrates key concepts of geometry and volume calculations, suitable for high school students.

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