1: given: radius of sphere tank 70 feet. v = 4/3 * π * r³ = 4/3 * 3.14 * 70³ = 4/3 * 3.14 * 343,000 = 1,436,027 ⇒ volume of the spere v = 1,436,027 / 4 = 359,007 ft³ ⇒ volume of the quarter sized sphere 2: given: congruent cylindrical tanks. tank 1 - radius = 15 ft; tank 2 - height = 120 ft. v = π r² h v = 3.14 * 15² * 120 = 3.14 * 225 * 120 = 84,780 ft³ 3. given: density = 0.000011142 ; volume = 359,007 ft³ density = mass / volume mass = density * volume mass = 0.000011142 * 179,503.33 = 2 4: volume = 1/4(4/3 * pi * r^3) r= 70 feet. volume = 1/4(4/3 * 3.14 * 70^3) calculating the values: volume = 359,000.67 ft. cubed no we divide the actual radius by 6 to get the volume of scale model. 6^3 = 216 times smaller. using the information from #4, answer the following question by filling in the blank: the volume of the actual tank is % of the mock-up of the tank