The height would be 108 inches. the base would be 156 inches. I figured this bc the 1/4 is half of 1/2 so if 1/4 is 6inches 1/2 would be 12 inches
B
W
The whole circle is pi r^2= 18 times 18 is 324 pi minus the white part
She will need 1/2 cup of onions if she is making 12 cups of soup.
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
<h3>

</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,13) and (10,-4)
The midpoint M is
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
Required volume is
unit.
Step-by-step explanation:
Given equations of curves,
,
substitute second in first we will get,

When
and
. Thus both curves intersect at the points (4,16),(-4,16). And thus
.
Considering width of the representative rectangle as
which is parallel to x-axis because of considering cylindrical shell. Therefore volume of the shell is given by,

Now,
Length of generating box=Length of
from line x=4(axis of revolution)=circumference of the shell=(4-x)
Width of box=
Hence,


![=2\pi\{144\big[x\big]_{-4}^{4}-18\big[x^2\big]_{-4}^{4}-\frac{8}{3}\big[x^3\big]_{-4}^{4}+\frac{1}{2}\big[x^4\big]_{-4}^{4}\}](https://tex.z-dn.net/?f=%3D2%5Cpi%5C%7B144%5Cbig%5Bx%5Cbig%5D_%7B-4%7D%5E%7B4%7D-18%5Cbig%5Bx%5E2%5Cbig%5D_%7B-4%7D%5E%7B4%7D-%5Cfrac%7B8%7D%7B3%7D%5Cbig%5Bx%5E3%5Cbig%5D_%7B-4%7D%5E%7B4%7D%2B%5Cfrac%7B1%7D%7B2%7D%5Cbig%5Bx%5E4%5Cbig%5D_%7B-4%7D%5E%7B4%7D%5C%7D)

which is required volume of generating area.