How much below the surface of earth dos the acceleration due to gravity become 1% of it's value at it's - Physics - Gravitation

Question

How much below the surface of earth dos the acceleration due to
gravity become 1% of it's value at it's earth surface?

Nazreen · Answer

let g(d) be the acceleration due to gravity at a depth 'd',below
earth surface
g(d)=g(1-d/R)
where R = radius of earth = 6371 km
according to question,
9 8/100 = 9 8(1-d/6371)
1/100 = 1-d/6371
6371-(6371/100) = d = 6307 29 km
6307 29 KM BELOW THE SURFACE OF EARTH ,THE ACCELERATION DUE TO
GRAVITY WILL BE 1% OF ITS VALUE AT ITS EARTH SURFACE

How much below the surface of earth dos the acceleration due to gravity become 1% of it's value at it's earth surface?