Question

A solid sphere and a solid cube are made from the same material. The sphere would just fit within the cube, if it could. Both begin at the same temperature, and both are heated to the same temperature. Which object, if either, has the greatest change in volume?a. Both have the same change in volume.b.The cube.c. Insufficient information is given for an answer.d. The sphere.

Answer 1

Answer:

Explanation:

A solid is Sphere is somehow place inside a solid cube and the system is heated .

Material of cube and Sphere is same therefore coefficient of volume expansion is same for both shapes.

change in volume is given by

$\Delta V=\gamma V_0\Delta T$

where $\Delta V=change\ in\ volume$

$\gamma =coefficient\ of\ volume\ expansion$

$\Delta T=Change\ in\ Temperature$

$V_0=Initial\ Volume$

As initial volume of Cube is more than the sphere therefore Cube will expand more keeping other two factors same.