Assuming the earth to be a sphere of radius $6370\ km$, how many square kilometres is area of the land, if three-fourth of the earth’s surface is covered by water?

 Given:

The radius of the earth is $6370\ km$. 

Three-fourth of the earth’s surface is covered by water.

To do:

We have to find the area of the land.

Solution:

Radius of the earth $= 6370\ km$

Water on the earth $=\frac{3}{4}$(total area of the earth)

This implies,

Land on the earth $=\frac{3}{4}$(total area of the earth)

Therefore,

Required area $=\frac{1}{4}(4 \pi r^{2})$

$=\pi r^{2}$

$=\frac{22}{7} \times(6370)^{2}$

$=\frac{22 \times 6370 \times 6370}{7}$

$=22 \times 910 \times 6310$

$=127527400 \mathrm{~km}^{2}$

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Updated on: 10-Oct-2022

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