2 parts.....ratio is 5:3...added = 8.....so one of the parts is 5/8 of the total...5/8x....and the other part is 3/8 of the total...3/8x
the difference is 6...
5/8x - 3/8x = 6
2/8x = 6
x = 6 * 8/2
x = 48/2
x = 24
so the total length is 24
with the longest being : 5/8(24) = 15 <==
and the shortest being : 3/8(24) = 9
Six million three hundred sixty two thousand forty nine
For this case we have that by definition, the volume of a cone is given by:
Where:
r: It is the radius of the cone
h: It is the height of the cone
According to the statement data we have:
Substituting we have:
Thus, the volume of the cone is 
Answer:
OPTION C
@Konrad509's answer was fantastic.
What you first need to know is this. 3 consecutive natural numbers multiplied by each other, for instance: (1*2*3) or (2*3*4) or (3*4*5) or (4*5*(2*3)) can be described using the abstract expression:
(n-1)n(n+1)
-------------
Now:
A=n(n²+11),
and:
n(n²+11)
=n(n²-1+12)
=n³-n+12n
=n(n²-1)+12n
=n(n+1)(n-1)+12n
=(n-1)n(n+1)+(4*3)n
-------------------------
So:
A=(n-1)n(n+1)+(4*3)n
Therefore, A is divisible by 3.
