Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h
The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.
Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³ (remember: volume of a cylinder=πr²h)
Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³
For palarell lines, slope are equal.
slope of first line = (y2 - y1)/(x2 - x1) = (-7 - 9)/(-12 - 8) = -16/-20 = 4/5
equation of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (-5, -15) and m = 4/5.
Therefore equation of the line is y - (-15) = 4/5(x - (-5))
y + 15 = 4/5(x + 5)
