Observe different geometrical patterns around us. Explore mathematical concept of algebra used in this.

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8

18 16 11 45 33 11 33 14 18 11 what is the mode for this data set

What are the solutions for the following system? -2x^2+y=-5 y=-3x^2+5