<u><em>Answer:</em></u>
The cylinder can hold 508.68 in³
<u><em>Explanation:</em></u>
<u>The volume of a cylinder can be calculated using the following rule:</u>
Volume of cylinder = πr²h cubic units
where r is the radius of the cylinder and h is its height
<u>Now, we are given that:</u>
height of cylinder = 18 in
diameter of cylinder = 6 in which means that the radius of the cylinder is 3 in
π is 3.14
<u>Substitute with the givens in the above equation to get the volume of the cylinder as follows:</u>
Volume of cylinder = πr²h
Volume of cylinder = 3.14 * (3)² * 18
Volume of cylinder = 508.68 in³
Hope this helps :)
Answer:
B. (-4, -3)
Step-by-step explanation:
If we graph the points onto the graph, you can see that (-4, -3) is not in the solution set shown in the graph. In order to be a solution in the set, the solution has to be graphed <em>above </em>the dotted line; it has to be in the shaded region.
Answer:
This is the graph. It is a normal square root function, but translated down 6 units.
<u>Given:</u>
The equation of the function is 
We need to determine the vertex form.
<u>Vertex form:</u>
The vertex form of the equation of the parabola can be determined by solving the function
using completing the square method.
The vertex form of the function is of the form 
We need to write the vertex form of the function in the form of 
Hence, let us solve the function
using completing the square method.
Thus, we have;


Thus, the vertex form of the function is 
Hence, Option A is the correct answer.