Answer:
r = 4.62 cm
Explanation:
Mass of a coffee, m = 370 g
Height of the mug, h = 5.5 cm
We need to find the inside radius of the mug. Density of an object is equal to the mass per unit volume. It can be given by :
[tex]d=\dfrac{m}{V}\\\\d=\dfrac{m}{\pi r^2 h}\\\\r=\sqrt{\dfrac{m}{\pi dh}}\\\\r=\sqrt{\dfrac{370\ g}{\pi \times 1\ g/cm^3\times 5.5\ cm}}\\\\r=4.62\ cm[/tex]
So, the inside radius is 4.62 cm.
