Bowling balls can be made from a variety of substances and are required to have a circumference of roughly 27.4 inches. the construction of the ball typically consists of a high density core surrounded by a lower density shell. suppose a bowling ball floats in water with half of its volume submerged. if the specific gravity of the shell is 0.350 and the specific gravity of the core is 0.760, calculate the thickness of the shell. answer needs to be in inches

The starship enterprise is caught in a time warp and spock is forced to use the primitive techniques of the 20th century to determine the specific heat capacity of an unknown mineral. the 125-g sample was heated to 96.3°c and placed into a calorimeter containing 85.9 g of water at 20.0°c. the heat capacity of the calorimeter was 14.2 j/k. the final temperature in the calorimeter was 24.5°c. what is the specific heat capacity (in j/g°c) of the mineral? enter to 4 decimal places.