The volume of the remaining paint is:
V1 = (1/4) * (pi) * (r ^ 2) * (h)
Where,
r: radio
h: height
Substituting values we have:
V1 = (1/4) * (3.14) * (8 ^ 2) * (20)
V1 = 1004.8 cm ^ 3
The smallest can volume is:
V2 = pi * r ^ 2 * h
Substituting values:
V2 = (3.14) * 5 ^ 2 * h
Matching the volumes:
V2 = V1
(3.14) * 5 ^ 2 * h = 1004.8
Clearing h:
h = (1004.8) / ((3.14) * 5 ^ 2)
h = 12.8 cm
Answer:
The height of the smallest part of the paint is:
h = 12.8 cm
The coefficients
could be chosen to be the coefficients in the Maclaurin series of
.
We have




It follows that
,
,
, and
.
Hi there!
Slope intercept form is
. To do this, we just need to isolate y. This can be done by first moving everything that doesn't involve a y to the other side, and then dividing by the coefficient:



And there you have your answer, just above.
Hope this helps, feel free to let me know if you have any additional questions about this specific problem!
Answer:
Step-by-step explanation:
Hope this helps u!!