<h3><u>Radius as function of volume is:</u></h3>
<em><u>Solution:</u></em>
<em><u>The volume of cone is given as</u></em>:
Where,
r is the radius
h is the height
From given,
height = 20 inches
From formula,
Rearrange , so that r is alone in left side of equation
Substitute h = 20
Thus, radius as function of volume is:
If you think about how it works when cups are stacked. you will begin with the height of the cup plus the height of the lip you would then add just the heigt of the lips until you get to the height needed. so your answer should be 19 cups
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution
We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ + v₂c₂
40(0.32) = 10(0.2) + 30c
