Science and Mathematics for Engineering 6th Edition by John Bird

Exercise 2

A gold sphere has a diameter of $40 \mathrm {~mm}$ at a temperature of $285 \mathrm {~K}$ . If the temperature of the sphere is raised to $785 \mathrm {~K}$ , determine the increase in (a) the diameter (b) the surface area (c) the volume of the sphere. Assume the coefficient of linear expansion for gold is $14 \times 10 ^ { - 6 } \mathrm {~K} ^ { - 1 }$