ANSWER :
a. 628 cubic foot
b. 52 cubic foot
c. 1.17 ton
EXPLANATION :
The volume formula of a cylinder is :
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
The volume formula of a cone is :
![V=\frac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
From the problem, we have a diameter of 10 ft, so the radius is r = 5 ft
Cylinder's height is 8 ft and cone's height is 2 ft
a. volume of cylinder part :
![\begin{gathered} V=\pi(5)^2(8) \\ V=628ft^3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V%3D%5Cpi%285%29%5E2%288%29%20%5C%5C%20V%3D628ft%5E3%20%5Cend%7Bgathered%7D)
b. volume of cone part :
![\begin{gathered} V=\frac{1}{3}\pi(5)^2(2) \\ V=52ft^3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%285%29%5E2%282%29%20%5C%5C%20V%3D52ft%5E3%20%5Cend%7Bgathered%7D)
c. The combine volume is 628 + 52 = 680 cubic foot
A dry corn weighs 45 lbs per cubic foot.
That will be :
![52ft^3\times\frac{45lbs}{ft^3}=2340lbs](https://tex.z-dn.net/?f=52ft%5E3%5Ctimes%5Cfrac%7B45lbs%7D%7Bft%5E3%7D%3D2340lbs)
There are 2000 pounds per ton, so that will be :
Answer:
I hope this helps!
Step-by-step explanation:
Have a great rest of your day!
Answer:
B
Step-by-step explanation:
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Answer:
There seems to be m linear relation between te data.
Negative relationships between variables.
Step-by-step explanation:
Speed(X)
60
60
60
60
80
80
80
80
100
100
100
100
120
120
120
120
140
140
140
140
Lifetime (Y) :
4.6
3.8
4.9
4.5
4.7
5.8
5.5
5.4
5
4.5
3.2
4.8
4.1
4.5
4
3.8
3.6
3
3.5
3.4
The linear regression equation obtained by fitting the data using a regression model is :
ŷ = -0.017X + 6.03
From the regression plot, the relationship between the two variables, speed and lifetime is negative, that is an increase in one variable will lead to a corresponding decrease in the other.