To minimize neutron leakage from a reactor, the ratio of the surface area to the volume should be a minimum. For a given volume V the ratio of the sphere will be
.
We know that the surface area and volume of the sphere is given by:

Therefore, the ratio between the surface area and the volume for the sphere will be:

Equating the volume to the constant c, we will find the value of
.

Substituting the value of r in the ration between surface area and volume, we get:

Calculating the constants, we get:

Hence, the ration between surface area and volume is 
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Answer:
Weight at the surface of Jupiter's moon Io is 8.13 N .
Explanation:
Given :
Acceleration due to gravity at the surface of Jupiter's moon is
.
Weight of watermelon in earth ,
.
Acceleration due to gravity at the surface of earth is
.
We know , weight is given by :

Therefore , mass at the surface of Jupiter's moon Io is :

Hence , this is the required solution .
Explanation:
Below is an attachment containing the solution.
Answer:
P = 96 J
Explanation:
Given that,
Weight of the book, W = mg = 8 N
It is placed at a height of 12 m
We need to find the potential energy of the book. The potential energy of an object is given by the formula as follows :
E = mgh
mg = Weight

So, the potential energy of the book is 96 J.