The mass of the log (in pounds) is 452 lb
Step-by-step explanation:
Since the wooden log is to be modelled by the cylinder, the volume of the wooden log must be same as that of the volume of cylinder.
We know that cylinder’s volume is π*r²*h
Where r is the cylinder’s radius and h is the height
Given in the question-
Cylinder’s height =5 feet
Diameter= 1.6 feet= 0.8 feet (radius)
Wood’s density- 45 lb/ft
³
First we need to find the volume of the cylinder= cylinder’s volume is π*r²*h
3.14*(0.8)*5= 10.048 ft
³
Thus the volume of the wooden mass would also be 10.048 ft
³
We know that density= mass/volume
Mass= volume*density
Substituting the value of volume and density
Mass= 10.048*45= 452.16 lb (Approx. 452 lb)
