10 000 cubic km of water can cover all the continents with a layer 7 cm deep.(adsbygoogle = window.adsbygoogle || []).push({});

Find the depth of the water layer if 10 000 cubic km of water is spread over a sphere with radius R = 6370 km.

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My calculations:

Volume of the sphere: 4/3*π*r^3

R* = R + d (d = depht of the water=> searched)

d = R* - R

V* = V + v (V = 4/3*π*6370^3 ; is the little v equal to the 10 000 km^3?)

Would that be correct:

V = 4/3*π*6370^3 = 1.0826969e+12 km^3 (?)

v = 10 000 km^3 (?)

Total V*: 1.0826969e+12

Next we search R*:

Volume of the sphere: V* = 4/3*π*R*^3

=> R*^3 = V*/π*3/4

= (1.0826969e+12/π)*3/4 => take the third root = 1.73205080757

So d ~ 1.73 cm ?

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Please correct this! I'm really not sure if it's correct.

Can someone please help and explain what I did wrong?

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# Sphere Problem - Please correct

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