Answer:
0.318
Step-by-step explanation:
Answer:
157.08
Step-by-step explanation:
Use the formula for volume of a cone: V = 
For
, on the left we have
, and on the right,

(where we use the double angle identity:
)
Suppose the relation holds for
:

Then for
, the left side is

So we want to show that

On the left side, we can combine the fractions:

Recall that

so that we can write




(another double angle identity:
)
Then recall that

which lets us consolidate the numerator to get what we wanted:

and the identity is established.
Answer:
y = -2.5x
Step-by-step explanation:
The constant of variation = y/ x = 5/-2 = -2.5
Also -7.5 / 3 = -2.5
-10 /4 = -2.5 and so on