Answer:
23ft 9in
Step-by-step explanation:
The trick is to realize what your choices are.
if m or n or both are divisible by 5, then 2mn will be divisible by 5
I don't know if you know about x mod(5), but in that case there can only be 4 possibilities for m and n
m mod (5) = +/- 2 or m mod(5) = +/- 1
In the first case m^2 = 4 mod(5) and in the second case m^2 = 1 mod(5) N has the same considerations.
If m and n have the same modular results (both are [say] 2 ) then m^2 - n^2 which be 0
If they are different, then (m^2 + n^2) mod 5 = 0
To multiply these expression, multiply the numeric parts, and sum the exponents of the literal parts (because the variable is the same: we're using the power property 
).
So, you have:
Answer: 523.8 m^3
Step-by-Step Solution:
Radius (r) = 5 m
Volume of a Sphere (V) = 4/3 πr^3
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (5)^3
= 4/3 * 22/7 * 125
= 88/21 * 125
= 11000/21
=> 523.8
Volume of the Sphere (V) = 523.8 m^3
