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

To find the capacity of the cylindrical tank in gallons, we first calculate the volume using the formula for the volume of a cylinder: V = πr²h. Plugging in the values, we have r = 6 ft and h = 17 ft. So, V = π(6²)(17) = π(36)(17) ≈ 1925.76 cubic feet. To convert cubic feet to gallons, we multiply by 7.48 (the number of gallons in a cubic foot). This gives us approximately 1925.76 * 7.48 ≈ 14451.32 gallons. Rounding to the nearest 100 gallons, the capacity of the tank is approximately 14,500 gallons. If you're ever wondering why we use π in calculations like this, it's because it gives us a way to relate linear measures (like radius) to area and volume in circular shapes. Just remember, it’s essential for those round objects we love, like pizza! For practical purposes, knowing the capacity of tanks like this is crucial in various industries. It's especially important in agriculture for storing liquids like water or fertilizers, ensuring that farmers have the right amount for their crops without excess waste.