A raft is made of 14 logs lashed together. Each is 29.5 cm in diameter and has a length of 6.50 m. How many people (whole number) can the raft hold before they start getting their feet wet, assuming the average person has a mass of 75.0 kg? Do not neglect the weight of the logs. Assume the density of wood is 600 kg/m³

1 answer

Vr = 14 * pi*r^2 * h = 3.14*(0.295/2)^2 * 6.5 = 6.22 m^3 = Volume of the raft.

Vr*Dr = 6.22m^3 * 600kg/m^3 = 3732 kg =
Mass of the raft.

Vw*Dw = 6.22m^3 * 1000kg/m^3 = 6220 kg =
Mass of the water displaced.

6220 - 3732 = 2488 kg can be added to the raft.

2488kg * 1person/75kg = 33 People.