You want to catch rainwater in this cylindrical container. About how much water will it hold?

To determine how much rainwater a cylindrical container can hold, you'll need to know its **dimensions**—specifically, the **radius** (or diameter) and the **height** of the container. Once you have these measurements, you can calculate the volume of the cylinder using the following formula: \[ \text{Volume} = \pi \times r^2 \times h \] Where: - \( \pi \) (pi) is approximately 3.14159 - \( r \) is the **radius** of the cylinder's base - \( h \) is the **height** of the cylinder **Steps to Calculate the Volume:** 1. **Measure the Radius or Diameter:** - If you have the **diameter** (the distance across the circular base), divide it by 2 to get the radius. - *Example:* If the diameter is 10 inches, the radius \( r \) is 5 inches. 2. **Measure the Height:** - Determine the height \( h \) of the cylinder from base to top. - *Example:* If the height is 20 inches, then \( h = 20 \) inches. 3. **Apply the Formula:** - Plug the radius and height into the volume formula. - Using the example values: \[ \text{Volume} = 3.14159 \times (5)^2 \times 20 = 3.14159 \times 25 \times 20 = 3.14159 \times 500 \approx 1570.8 \text{ cubic inches} \] 4. **Convert to Desired Units (Optional):** - If you prefer liters or gallons, you can convert cubic inches using conversion factors: - **1 cubic inch ≈ 0.0163871 liters** - **1 cubic inch ≈ 0.004329 gallons** - Continuing the example: \[ 1570.8 \text{ cubic inches} \times 0.0163871 \approx 25.73 \text{ liters} \] \[ 1570.8 \text{ cubic inches} \times 0.004329 \approx 6.80 \text{ gallons} \] **Final Note:** Ensure that the container is **fully sealed and can actually hold water** without any leaks. Additionally, consider the placement of the container to maximize rainwater collection based on your local rainfall patterns. If you provide the specific dimensions of your cylindrical container, I can help you calculate a more accurate estimate of its water-holding capacity.