The volume of the partial cone is the volume of the entire funnel minus the volume of the cylindrical part.
The volume of a cylinder is given by:
where: r is the radius of the cylinder and h is the height of the cylinder.
Given that the cylindrical part of the funnel has a height of 1.5 cm and a diameter of 1.5 cm, thus the radius is 1.5 / 2 = 0.75 cm and the volume is given by:
Therefore, the volume of the partial cone is given by 16.59375 - 2.65072 = 13.94303 cubic cm.
Answer
i believe the answer would be the third photo if the third photo for you is the one that doesn’t pass the vertical line test
Explanation
if the relation is a function no two pints should touch going down hence the vertical line test
hope this helps and have a wonderful day :)
The graph would be a parabola with the vertex at point (0, 1)
First, we need to set up our two equations. For the picture of this scenario, there is one length (L) and two widths (W) because the beach removes one of the lengths. We will have a perimeter equation and an area equation.
P = L + 2W
A = L * W
Now that we have our equations, we need to plug in what we know, which is the 40m of rope.
40 = L + 2W
A = L * W
Then, we need to solve for one of the variables in the perimeter equation. I will solve for L.
L = 40 - 2W
Now, we can substitute the value for L into L in the area equation and get a quadratic equation.
A = W(40 - 2W)
A = -2W^2 - 40W
The maximum area will occur where the derivative equals 0, or at the absolute value of the x-value of the vertex of the parabola.
V = -b/2a
V = 40/2(2) = 40/4 = 10
Derivative:
-4w - 40 = 0
-4w = 40
w = |-10| = 10
To find the other dimension, use the perimeter equation.
40 = L + 2(10)
40 = L + 20
L = 20m
Therefore, the dimensions of the area are 10m by 20m.
Hope this helps!
You must buy 4 packages of hot dogs and 5 packages of hot dog buns. The LCM of 30 and 42 is 2⋅3⋅5 ⋅7 = 210.
