Question

Cups A and B are cone shaped and have heights of `32 cm` and `37 cm` and openings with radii of `16 cm` and `19 cm`, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

Answer 1

overflow

Explanation:

The volume of a cone is calculated using:

`V = 1/3pir^2h" r is radius and h , the height "`

calculate volume of both cones and compare

`V_A = 1/3pixx16^2xx32 ≈ 8578.64" cubic cm "`

`V_B = 1/3pixx19^2xx37 ≈ 13987.42" cubic cm "`

Since `V_B > V_A " when poured into A it will overflow "`