If you have a cylinder with a diameter of 15 and height of 12 inches. what is the volume of the largest sphere that will fit inside os it?

If we have a cylinder with a smaller height than diameter, the height is our constricting measurement. This means that our sphere's max diameter is 12 inches.

Solving for the volume of a sphere with diameter of 12 inches:
4/3 * pi * r^3
4/3 * 3.14 * 6^3
volume = 904.32 cubic inches

Y + 7 = -4(x - 2)

The equation for point slope form is
y - y1 = m(x - x1) where m represents the slope.

It coordinates and slope are given, they just need to be plugged into the equation.

y - (-7) = -4(x - 2)

Subtracting a negative can be written as adding a positive, so the equation can be simplified as:

y + 7 = -4(x - 2)