It is given in the question that the formula of volume of cone is
Where V is the volume, r is the radius and h is the height.
And we have to find an expression for h.
First we multiply both sides by 3, and on doing that we will get
Now to isolate h, we have to get rid of pi r square by dividing.
Therefore the correct option is B.
Answer:
slope: -3/5
y-intercept: (0, 4)
slope-intercept form: y = -3/5x + 4
Step-by-step explanation:
<h3><u>Finding the slope</u></h3>To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.
Slope formula:
I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.
(0, 4), (5, 1) →
This means the slope of the line is -3/5.
<h3><u>Finding the y-intercept</u></h3>The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).
<h3><u>Finding the slope-intercept form</u></h3>Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.
point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.
y - (4) = -3/5(x - (0))
Simplify.
y - 4 = -3/5x
Add 4 to both sides.
y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).
