Question

Suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius). What is its inside radius if it holds 370 g of coffee when filled to a depth of 5.50 cm?

Answer 1

r = 4.62 cm

Step-by-step 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 :

`d=(m)/(V)\\\\d=(m)/(\pi r^2 h)\\\\r=\sqrt{(m)/(\pi dh)}\\\\r=\sqrt{(370\ g)/(\pi * 1\ g/cm^3* 5.5\ cm)}\\\\r=4.62\ cm`

So, the inside radius is 4.62 cm.