First find the area of the base, and multiply that by the height. That's the answer. 
Area of the base: pi * 3*3 = 3.14*9 = 28.26
Volume of the cylinder: 28.26*8 = 226.08 cubic units
        
                    
             
        
        
        
Answer: Vertex = (2, -15)  2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
       = 3(x² - 4x - 1)
           a=1   b=-4  c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: 

       
          = 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
        = 12  - 24 - 3
        = -15
So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE
Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
        = 0  - 0 - 3
        = -3
So, an additional point is (0, -3)  ←  PLOT THIS COORDINATE
 
        
             
        
        
        
Answer:
2x + 3y = 10,  3y = 18  (in both cases, for each input x, there is exactly one output y.
Step-by-step explanation:
3y = 10 - 2x, or y = (1/3)(10 - 2x)   Yes, this is a function.
4x = 16 → x = 4        NOT a Function, because for x = 4 there are an infinite number of possible y -values
2x - 3 = 14 →  2x = 17  →  x = 17/2  Not a function.  See reason given above.
3y = 18 →  y = 6   Function
2x = 14.6   →  x = 7.3  Not a function.  See reason given above
 
        
             
        
        
        
36. (-)•(-)=(+) 3•12=36 therefore the answer is 36