Step-by-step explanation: To solve this problem, we need to use the formula for the volume of a sphere, which is (4/3)πr^3, where r is the radius of the sphere. Since the tank is shaped like a hemisphere, its radius is half of the diameter, so r = 5 feet. Therefore, the volume of the tank is (4/3)π(5)^3 = 208.3 cubic feet. Next, we need to convert the density from pounds per cubic foot to pounds per gallon, since gasoline is typically sold and measured in gallons. One cubic foot is equal to 0.0283168 gallons. So, the density of the liquid in pounds per gallon is 58.2 x 0.0283168 = 1.