For this case we must find an expression equivalent to the following:

By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
In addition, we know that:

Rewriting the given expression we have:

Answer:

The type of reasoning that Vivian used into solving the
equation is the deductive. This type of reasoning is able to describe on how
the equation is done and this could be seen in the given scenario above as she
was able to show the steps in obtaining the correct answer.
Solution-
Capacity of the spherical tank = 800 gallons.
1 gallon = 0.1337 ft³,
Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³
Formula for the volume of sphere

Equating both the volumes
⇒
= 106.96
⇒
= 25.53
⇒ ![r = \sqrt[3]{25.53}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B25.53%7D)
⇒ r = 2.94
∴ Radius of the sphere is 2.94 ft
Answer:
that my friend is a code in java or some other language.
Step-by-step explanation:
it is just a code