A water tank in the shape of a cylinder has a diameter of 20 feet and a height of 15 feet. Which measurement is closest to the total surface area of the tank in square feet? \( 942 \mathrm{ft}^{2} \) \( 1885 \mathrm{ft}^{2} \) \( 1571 \mathrm{ft}^{2} \)

To find the total surface area of a cylindrical tank, you can use the formula: \[ \text{Surface Area} = 2\pi r(h + r) \] where \( r \) is the radius and \( h \) is the height. Since the diameter is 20 feet, the radius is 10 feet (which is half of the diameter). The height is 15 feet. Plugging in the values: \[ \text{Surface Area} = 2\pi (10)(15 + 10) = 2\pi (10)(25) = 500\pi \approx 1570.8 \text{ ft}^2 \] Thus, the measurement closest to the total surface area of the tank would be \( 1571 \mathrm{ft}^{2} \). The total surface area of a cylinder even accounts for the top and bottom circular surfaces along with the curved surface! So while you may be tempted to just multiply height and circumference, don’t forget those bases! Always remember, measuring the dimensions correctly is key to avoiding mistakes!