What is the capacity in gallons of a cylindrical tank with a radius of 6 ft and an altitude of 17 ft ? Round to the nearest 100 gallons.
The capacity of the cylindrical tank in gallons is

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What is the capacity in gallons of a cylindrical tank with a radius of 6 ft and an altitude of 17 ft ? Round to the nearest 100 gallons. The capacity of the cylindrical tank in gallons is

UpStudy AI · Accepted Answer

To determine the capacity of a cylindrical tank in gallons, follow these steps:

1. **Calculate the Volume in Cubic Feet:**

The volume $$ V $$ of a cylinder is given by:
   $$
   V = \pi r^2 h
   $$
   where:
   - $$ r = 6 $$ ft (radius)
   - $$ h = 17 $$ ft (height)

Plugging in the values:
   $$
   V = \pi \times 6^2 \times 17 = \pi \times 36 \times 17 = \pi \times 612 ≈ 3.1416 \times 612 ≈ 1,923.11 \text{ cubic feet}
   $$

2. **Convert Cubic Feet to Gallons:**

The conversion factor is:
   $$
   1 \text{ cubic foot} = 7.48052 \text{ gallons}
   $$

So,
   $$
   \text{Capacity in gallons} = 1,923.11 \times 7.48052 ≈ 14,382.46 \text{ gallons}
   $$

3. **Round to the Nearest 100 Gallons:**

$$
   14,382.46 \text{ gallons} \approx 14,400 \text{ gallons}
   $$

**Answer:**  
The capacity of the cylindrical tank is **14,400 gallons**.
The cylindrical tank has a capacity of approximately 14,400 gallons.

What is the capacity in gallons of a cylindrical tank with a radius of 6 ft and an altitude of 17 ft ? Round to the nearest 100 gallons.
The capacity of the cylindrical tank in gallons is

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