Thursday, March 3, 2005
We all know obesity is a problem in United States. Whenever I see a large person, two questions would automatically pop into my head:
1. How much does this person weigh?
2. How did it happen?
The second question is usually very easy to answer, but the weight question is a little tricky. Since it is socially unacceptable to directly ask a person about his/her weight, I usually try to calculate an estimation in my head.
The person in the photo is about 5' 6" tall. Using the drag-along bag as a reference scale, her hip is about 30.5" and her shoulder is about 20.8" wide. Judging by her body shape, the hip's widest point is about 40% of her total height, therefore it is about 26.4" above from the ground.
Assume her upper body is cone shaped with its base diameter to be the average of shoulder and hip width, her upper body volume is:
V_upperbody = (1/3)*(pi)* (39.6")*[(30.5"+20.8") /4]^2
V_upperbody = 6821 in^3
Since her lower body is not as filled of a cone-shape as her upper body, her lower body volume would be halfed:
V_lowerbody = (1/2)*(1/3)*(pi)*(26.4")*[(30.5"+20.8")/4]^2
V_lowerbody = 2274 in^3
The total volume is:
V_total = V_upperbody+V_lowerbody
V_total = 9095 in^3 (or 0.149 m^3)
Assuming human flesh is the same density as ground beef (950 kg/m^3), her body weight would be:
Weight = (0.149)*(950)
Weight = 141.6 kg (or 318.2 lbs)