1.In parallelogram ABCD, A = (4, 5), B = (1, 4), and C = (6, 2). Find the coordinates of D.
2.A right cylinder with a base radius of 3 units is inscribed in a sphere of radius 5 units. Find the total volume, in cubic units, of the space inside the sphere and outside the cylinder.
3.ABC and DEF are not similar, and they satisfy the following conditions: • AB > DE • BC > EF • AC > DF Grogg claims that ABC must have a greater area than DEF does. Do you agree with Grogg? If yes, prove his claim. If no, provide a counterexample to Grogg’s claim