A baseball fits snugly inside a transparent display cube. The length of an edge of the cube is 2.9 inches. Pl Help me
Is the baseball’s volume greater than, less than, or equal to cubic inches? Explain how you know.

1. A cube’s volume is 512 cubic units. What is the length of its edge?

2. If a sphere fits snugly inside this cube, what is its volume?

3. What fraction of the cube is taken up by the sphere? What percentage is this? Explain or show your reasoning.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)