A container is made up of a hollow cone with an internal base radius of r сm and a hollow cylinder with the same base radius and an internal height of 4r cm. Given that the height of the cone is three-fifths of the height of the cylinder and 7 litres of water are needed to fill the conical part of the container completely, find the amount of water needed to fill the container completely, giving your answer in litres. G​

(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.)