Answer:
74.10 cubic meters
Explanation:
The weught of load, balloon and heilium equals the weight of air displaced.
We know that density is mass per unit volume hence mass is product of density and volume, m=dv where d is density and v is volume
Weight is product of mass and acceleration due to gravity, W=mg=mgv where g is acceleration due to gravity and m is mass. We take g to be 9.81 m/s2
Weight of load=790 N
Weight of ballon= mg= 1.8*9.81
Weight of helium=0.179*9.81*v
Weight of air displaced =1.29*9.81*v
790+(1.8*9.81)+(9.81*0.179*v)=1.29*9.81*v
(1.29-0.179)v*9.81=807.658
10.89891v=807.658
V=74.104474667650
Rounding off, the volume is 74.10 cubic meters
