Question

The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from 43 to 53 cm, and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of 5.0 cubits and a diameter of 1.0 cubits. For the stated range, what are the lower values for (a) the cylinder's length in meters, (b) the cylinder's length in millimeters, and (c) the cylinder's volume in cubic meters? What are the upper values for (d) the cylinder's length in meters, (e) the cylinder's length in millimeters, and (f) the cylinder's volume in cubic meters?

I am having a real hard time with this. My answers are always wrong. If you can explain it to me then I will thank you.

Answer 1

for lower values , we use 1 cubit = 43 cm = 0.43 m      (since 1 m = 100 cm )

for upper values , we use 1 cubit = 53 cm = 0.53 m      (since 1 m = 100 cm )

a) length of cylinder given = 5 cubits

1 cubit = 0.43 m

so length of cylinder in meter = = 2.15 m

b) 1 meter = 1000 mm (standard)

length of cylinder in meter = 2.15 m

so length of cylinder in mm = = 2150 mm

c) diameter of cylinder = 1 cubit = 0.43 m = d

     length of cylinder in meter = 2.15 m = L

Volume of cylinder is given as ,

so

V = 0.3121 m³

d) length of cylinder given = 5 cubits

1 cubit = 0.53 m (given)

so length of cylinder in meter = = 2.65 m

e) 1 meter = 1000 mm

length of cylinder in meter = 2.65 m

so length of cylinder in mm = = 2650 mm

f) diameter of cylinder = 1 cubit = 0.53 m = d

     length of cylinder in meter = 2.65 m

Volume of cylinder is given as ,

so

V = 0.5843 m³