20. Heat and Temperature

A cube has an edge length of $10$ centimeters. What is its volume in cubic centimeters (${\mathrm{cm}}^3$)?

What is the volume of a sphere with a radius of $41$ inches, rounded to the nearest tenth of a cubic inch? (Use $\pi$ ≈ $3.1416$)

A cube has an edge length of $13$ feet. What is its volume?

A cube has an edge length of $11m$. What is its volume in cubic meters ($m^3$)?

Given a solid cylinder with initial radius $r$, height $h$, and a coefficient of volume expansion $\beta$, what is the new volume of the cylinder after a temperature increase of $\Delta T$?

An oblique cylinder is shown. Which of the following expressions correctly represents the volume of the cylinder?

A steel tank is completely filled with 1.90 m³ of ethanol when both the tank and the ethanol are at 32.0°C. When the tank and its contents have cooled to 18.0°C, what additional volume of ethanol can be put into the tank?

A geodesic dome constructed with an aluminum framework is a nearly perfect hemisphere; its diameter measures 55.0 m on a winter day at a temperature of -15°C. How much more interior space does the dome have in the summer, when the temperature is 35°C?