Answer: 769.3ft³
Step-by-step explanation:
V = 
r²h
V = (3.14)(7)²(5)
V = 769.3ft³
Answer:
the value of x is acb 133°
The Mean would increase to 82.17 or a total increase of .17
You have 99 students and the avg is 82, therefore we can multiply 99*82 to get our total points
99*82=8118
We add a single score of 99 to our total points 8118+99= 8217
Then we add the student to the total number of students bringing it to 100 and divide our new total by the our new number of students.
8217/100 = 82.17
x=76
y=4
I think that answer should be right. Since it is isosceles the base angles will be the same and the top angle is an angle bisector which means that the angle split on top has even splits. Since no other side lengths- or any lengths at that matter- are give, it is safe to assume that y=4.
Answer:
The volume of the solid is 
Step-by-step explanation:
In this case, the washer method seems to be easier and thus, it is the one I will use.
Since the rotation is around the y-axis we need to change de dependency of our variables to have 
. Thus, our functions with 
as independent variable are:
For the washer method, we need to find the area function, which is given by:
![A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]](https://tex.z-dn.net/?f=A%3D%5Cpi%5Ccdot%20%5B%28%5Crm%7Bouter%5C%20radius%29%5E2%20-%28%5Crm%7Binner%5C%20radius%29%5E2%20%5D)
By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function 
and the inner one by 
. Thus, the area function is:
![A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)](https://tex.z-dn.net/?f=A%28y%29%3D%5Cpi%5Ccdot%20%5B%28%5Csqrt%7By%7D%20%29%5E2-%28y%5E2%29%5E2%5D%5C%5CA%28y%29%3D%5Cpi%5Ccdot%20%28y-y%5E4%29)
Now we just need to integrate. The integration limits are easy to find by just solving the equation 
, which has two solutions 
and 
. These are then, our integration limits.
