A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320π cubic feet. What is the diameter, in feet, of the water tank?
the volume of a cylinder is defined by the formula: V = π r ² h or V = (π d² h)/4 since you are asked of the diameter, we will use the formula involving diameter given: V = 320π ft³ h = 20 ft substitute to the formula V = (πd²h)/4 320π = (πd²(20))/4 d² = 320(4)/20 d² = 64 ft² d = 8 ft therefore the diameter is 8ft
