Answer: ![19,461\ ft^3](https://tex.z-dn.net/?f=19%2C461%5C%20ft%5E3)
Step-by-step explanation:
The missing figure is attached.
The volume of grain that could completely fill this silo is the sum of the volume of the cylinder and the volume of the hemisphere.
By definition, the volume of a cylinder can be calculated with this formula:
![V_c=\pi r^2h](https://tex.z-dn.net/?f=V_c%3D%5Cpi%20r%5E2h)
Where "r" is the radius and "h" is the height.
In this case you know that:
![r=6\ ft\\\\h=168\ ft](https://tex.z-dn.net/?f=r%3D6%5C%20ft%5C%5C%5C%5Ch%3D168%5C%20ft)
And the volume of a hemisphere can be found using the following formula:
![V_h=\frac{2}{3} \pi r^3](https://tex.z-dn.net/?f=V_h%3D%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20r%5E3)
Where "r" is the radius.
In this case:
![r=6\ ft](https://tex.z-dn.net/?f=r%3D6%5C%20ft)
Therefore, the volume of grain that could completely fill this silo, rounded to the nearest whole number, is:
![V_{grain}=(\frac{22}{7})(6\ ft)^2 (168\ ft)+\frac{2}{3} (\frac{22}{7})(6\ ft)^3\\\\V_{grain}\approx19,461\ ft^3](https://tex.z-dn.net/?f=V_%7Bgrain%7D%3D%28%5Cfrac%7B22%7D%7B7%7D%29%286%5C%20ft%29%5E2%20%28168%5C%20ft%29%2B%5Cfrac%7B2%7D%7B3%7D%20%28%5Cfrac%7B22%7D%7B7%7D%29%286%5C%20ft%29%5E3%5C%5C%5C%5CV_%7Bgrain%7D%5Capprox19%2C461%5C%20ft%5E3)
Answer:
a. IQR = 2.25
b. 40%
(I'm not sure about B.)
Step-by-step explanation:
a.=Q3 - Q1
=4.7 - 2.2
=2.5
b. =2/5 × 100/1
=40%
Given f(0)=3, we know the y intercept (when x equals 0) is 3
We then want to find the slope
We will use the slope formula m = (y2 - y1)/(x2 - x1)
m = (-7-3)/(2-0)
m = -10/2
m = -5
We can now plug in our slop and y-intercept into our slope-intercept form
y=mx+b
y = -5x + 3
Answer:
9,720 meters, or 9.72 km
Step-by-step explanation:
Rob runs at a speed of V1 = 3.8 m/s for t1 = one half hour = 30 x 60 = 1,800 seconds.
=> the distance he runs S1 = V1 x t1 = 3.8 x 1,800 = 6,840 meters
He walks at V2 = 1.6 m/s for t2 = 1,800 seconds.
=> the distance he walks S2 = V2 x t2 = 1.6 x 1,800 = 2,880 meters
The total distance he runs and walks S = S 1 + S 2 = 6,840 + 2,880 = 9,720 meters
Answer:
1/10
Step-by-step explanation:
(3/5) - (1/2)
3/5 = 3*2/ 5*2 = 6/10
1/2 = 1*5/ 2*5 = 5/10
(6/10) - (5/10)
= (6-5) / 10
= 1/10