Answer:
Step-by-step explanation:
Given
-- Objective function
Constraints:
Required
Minimum value of E
To do this, we apply graphical method
See attachment for plots of and
From the attached plot, the point that satisfy is:
So, we have:
This gives:
The first and second ones
X-1/2=15 1/4
15 1/4 = 15*4 + 1 = 61/4
61/4
x - 1/2 = 61/4
+1/2 +1/2
61/4 + 2/4 = 63/4
x = 63/4
Answer:
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder
Step-by-step explanation:
Here we have the volume of a cylinder given by
Volume of a cylinder = πr²h
Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have
Height of bottom of is then
Height = h - b
Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)
Volume of bottom of cylinder = π·r²·h - π·r²b
Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.
