Please help ASAP! Which is closet to the mass, in pounds, of the log? A. 150 lb B. 452 lb C. 602 lb D. 1,808 lb

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)

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47