Question

Assume rock are spheres of radius 1 meter each, and the planet X is the sphere of
radius 3200 km. If the planet X was a big hollow sphere and we packed rocks into
it, find out how many rocks will fit into the planet X.
a)3.28*10^20
b)3.28*10^18
c)3.28*10^19
d)3.28*10^21



Please answer fast and correctly. If you don't know ignore it

Answer 1

Answer:

(C) 3.28 x 10^19

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Explanation:

Given,

Radius of Rock: 1m...........................(r2)

Radius of Planet: 3200 km = 32 x 10^5 m........................(r1)

It is said that the planet is hollow and need to find the no. of rocks required to fit the planet.

Hence No. of rocks that can fit are:

=> (Volume of Planet) / (Volume of Rock)

=> { 4/3π x (r1)^3 } / { 4/3π x (r2)^3 }

=> (r1)^3 / (r2)^3

=> 3.279 x 10^19 rocks

=> 3.28 x 10^19 rocks