The actual depth of the surface feature on the real earth is 31.86 km.
The given parameters;
- depth of the scratch on the surface of the globe, d = 0.1 cm
- diameter of the globe, D = 40 cm
The radius of the globe is calculated as;
Radius = 0.5 x diameter
Radius = 0.5 x 40 cm = 20 cm
The radius of Earth is given as;
- Radius of Earth = 6,371 km
The actual depth of the surface feature on the real earth is calculated as;
actual depth = fraction of the depth on the globe x the radius of the earth
[tex]actual \ depth = \frac{0.1 \ cm}{20 \ cm} \times 6,371 \ k m\\\\actual \ depth =31.86 \ km[/tex]
Thus, the actual depth of the surface feature on the real earth is 31.86 km.
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