A sphere has been placed inside an cylinder with the same dimensions;both have a radius of 6cm, and a height of 12cm How many cubic centimeters of space does the sphere fill not fill up. A.432pi cm B.72 pi cm C.288 pi cm D.144 pi cm

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).