The coordinates of the vertices of A ABC are A(1,2), B(-5,3), and C1-6-3). Prove that triangle ABC is isosceles. State the coordinates of point D such that quadrilateral ABCD is a square. Prove that your quadrilateral ABCD is a square.

Acone is placed inside a cylinder. the cone has half the radius of the cylinder, but the height of each figure is the same. the cone is tilted at an angle so its peak touches the edge of the cylinder’s base. what is the volume of the space remaining in the cylinder after the cone is placed inside it?