Final answer:
To find the inside radius of the coffee mug, we need to use the formula for the volume of a cylinder and rearrange it to solve for the radius.
Step-by-step explanation:
To find the inside radius of the coffee mug, we can use the formula for the volume of a cylinder: V = πr²h. In this case, the depth of the coffee is given as 7.50 cm.
We can rearrange the formula to solve for the inside radius: r = √(V/πh).
Substituting the given values, we have r = √(375 g / (π × 1 g/cm³ × 7.50 cm)).
Calculating this equation yields a result of r ≈ 56.78 cm.