Question

if the number of square centimetres on the surface of a sphere in equal to the number of cubic centimetre in its volume what is the diameter of the sphere​

Answer 1

Answer:

Then the surface of the sphere is 4π∗r2

The volume is given as 4/3π∗r3

These two expressions should be the same, i.e.

4/3π∗r3=4π∗r2

Divide with what’s common on each side (supposing that r≠3 )

Then we get

r/3=1

or D =2r=6

Test: Surface: 4π∗32=36π

Volume: 4/3π∗33=36π