A 1.8 m tall man has a waistline of 100 cm. Which measure best approximates the volume of the man when using a cylinder to appro
ximate the man's shape? Question 1 options:
0.06 m³
0.14 m³
0.4 m³
0.72 m³
2 answers:
Solution :
Given height of the man = 1.8 m
and waistline = 100 cm = 1 m.
Consider the shape of the man cylindrical.
Waistline of the man = circumference of the circular base of cylinder = 1 m
Volume of Cylinder ,
.
Hence, Volume of the man when using a cylinder is
second option is the correct choice.
Waistline 100cm is the circle circumference->calculate radius
100cm=1m=2*r*π
0.5=r*π
0.5/π=r
area of a circle: A=r²π=(0.5/π)²π=0.25/π m²
circlearea*height=cylinder volume
1.8*0.25/π=0.45/π m³~0.143239 m³
so the second option is the correct one
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