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Use the diagram to answer the question below. what is the capacity , in feet , of the circular silo shown.

To find the capacity of the circular silo, we need to calculate the volume of the cylindrical section of the silo.

From the diagram, we have:
- The height of the cylinder (H) is 42 feet 6 inches.
- The diameter of the cylinder (D) is 18 feet.

First, let's convert the height to feet:
- 42 feet 6 inches = 42 + 6/12 = 42.5 feet.

Next, we calculate the radius (R) of the cylinder:
- Radius (R) = Diameter / 2 = 18 / 2 = 9 feet.

The volume \( V \) of a cylinder is given by the formula:
\[ V = \pi R^2 H \]

Substituting the values:
\[ V = \pi \times (9)^2 \times 42.5 \]
\[ V = \pi \times 81 \times 42.5 \]
\[ V = \pi \times 3442.5 \]

Using \( \pi \approx 3.14159 \):
\[ V \approx 3.14159 \times 3442.5 \]
\[ V \approx 10816.55 \text{ cubic feet} \]

So, the capacity of the circular silo is approximately 10816.55 cubic feet.

Would you like more details or have any questions?

Here are 5 related questions to expand on this information:
1. How would the capacity change if the diameter of the silo was increased to 20 feet?
2. What is the surface area of the cylindrical section of the silo?
3. How does the presence of the roof affect the total capacity of the silo?
4. If the silo was filled with grain, how would you calculate the weight of the grain given its density?
5. What would be the capacity in gallons if 1 cubic foot equals 7.48 gallons?

**Tip:** Always double-check unit conversions to ensure accuracy in your calculations.

Use the diagram to answer the question below. What is the capacity, in cubic feet, of the circular silo shown?

Learn how to calculate the capacity of a circular silo with an 18-foot diameter and a height of 42.5 feet using the volume formula for cylinders. This problem involves geometry concepts such as volume calculation and unit conversion. Suitable for high school students in Grades 10-12.

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