Answer:
77
Explanation:
Given the design of the spaceship is a sphere;
Volume of the spaceship = (4/3)πr^3
Volume = (4/3) × π × 26.8^3
Volume = 80639.77ft^3
1000ft^3 for each passenger
3067.5 ft^3 for machinery
Maximum number of people who can can per trip can be modeled using the relation
Volume = (space per rider × number of riders) + space for machinery
80639.77ft^3 = (1000ft^3 × number of riders) + 3067.5ft^3
(80639.77 - 3067.5)ft^3 ÷ 1000ft^3 = number of riders
77572.27ft^3 ÷ 1000 ft^3 = number of riders
77.57