Question

A tea pot is made in the shape of an inverted frustum of a right circular cone. The sum of the radi of its bases is 7 cm and its altitude is 6 cmFind the radii of the bases , if the capacity of the pot is 232.48 cm ^ 3​

Answer 1

Answer:

The teapot B can hold 16 cups of tea.

Reason :

In the figure above,

For,

POT A : we can see the delivery end level and top of A is at same level i.e. of line AB. As, reference pressure at any height for a liquid is equal to - {rho*g*h}, where rho = density of liquid, g= acceleration due to gravity, h= height above reference level, (here EF ). As, at AB the pressure is same at all points. Therefore, POT A can be filled up to brim without spilling i.e. can hold 32 cups of tea = { rho*g*(a1+a2) }

POT B : We can see the delivery end of B, is not at the same level to the brim of B. Therefore, POT B cannot stay full in steady state. To understand, lets imagine a hypothetical case, in which jug B is full as follows :

pressure at point x = rho*g* hb ; (hb = height of teapot B)

pressure at point y = rho*g*a2

for static equilibrium, pressure at x and that in A. i.e. 16 cups of tea.