Answer:
Step-by-step explanation:
20
Volume of Cylinder V₁ =πR². H
Volume of a cone V₂ = (1/3).πR².h
We know that H=4h (given) & R, the radius =75 &The total Volume = V₁+V₂,
We also know that the hopper has one cylinder & 2 equal cones
Hence
πR². H + 2 [(1/3).πR².h] =343,000 ft³
π(75)².H + 2[(1/3).π(75)².h] =343,000
But H = 4h, then
π(75)².4h + 2[(1/3).π(75)².h] =343,000. Solve for h
26250.π.h = 81,466.8.h = 343,000
& h=343,000/81,466.8, ==> h=4.16 ft & H =16.6 FT
The correct unit rate would be 166.6 or 167 meters per second:)
You need to plot the lines
Y= -3x-5 and
Y= -x+3
Standard form of a circle is (x-h)²+(y-k)²=r², (h, k) being the center, r the radius.
In this case, (x-h)²+(y-k)²=16
the circles pass through (1,1), that is x=1, y=1
Plug x=1,y=1 in the equation: (1-h)²+(1-k)²=16
if h=1, k is either -3 or 5
so the equation is (x-1)²+(y+3)²=16 or (x-1)²+(y-5)²=16
You can also set k=1, h=-3 or 5
Note: there are many other possibilities.
