Questions: A septic tank has the shape shown to the right. How many gallons does it hold? (1 ft³ ≈ 7.48 gallons) The tank holds gal. (Round to the nearest gallon as needed.)

△ Calculate the total volume of the septic tank in gallons. ○ Divide the tank into shapes ▷ Separate the tank into a rectangular prism and a full cylinder. ☼ The tank consists of a rectangular prism and two semi-cylinders combined into a full cylinder. ○ Calculate volume of rectangular prism ▷ Use the formula for the volume of a rectangular prism. ☼ The volume is \( V_{\text{rectangular prism}} = 6.5 \, \text{ft} \times 3.75 \, \text{ft} \times 3.75 \, \text{ft} = 91.40625 \, \text{ft}^3 \). ○ Calculate volume of cylinder ▷ Use the formula for the volume of a cylinder. ☼ The radius is \( 1.875 \, \text{ft} \) and the length is \( 6.5 \, \text{ft} \). The volume is \( V_{\text{cylinder}} = \pi \times (1.875 \, \text{ft})^2 \times 6.5 \, \text{ft} \approx 71.688 \, \text{ft}^3 \). ○ Sum volumes ▷ Add the volumes of the rectangular prism and cylinder. ☼ The total volume is \( V_{\text{total}} = 91.40625 \, \text{ft}^3 + 71.688 \, \text{ft}^3 \approx 163.09425 \, \text{ft}^3 \). ○ Convert to gallons ▷ Use the conversion factor from cubic feet to gallons. ☼ The volume in gallons is \( V_{\text{gallons}} \approx 163.09425 \, \text{ft}^3 \times 7.48 \, \text{gallons/ft}^3 \approx 1220.06 \, \text{gallons} \). ✧ The septic tank holds approximately 1220 gallons. ☺ The septic tank holds approximately 1220 gallons.