- #1

- 143

- 1

## Homework Statement

A cylindrical tank of radius 4cm is partly filled with water.A solid metal sphere of radius 3cm is lowered into the water by means of a thin wire until it is totally immersed. Find the increase in

(i) the depth

(ii) the pressure at a point on the base

(iii) the thrust on the base(in terms of π )

## Homework Equations

Pressure = (depth)(g)(density)

## The Attempt at a Solution

(i)

h = depth of water before sphere added

Volume of water before sphere added = 16(π )(h)

volume after sphere added = 16(π)(h) + (4/3)(π)(64)

pressure = (1)gh (since the density of water is 1/cm^3)

I'm not sure what to do next I'd presume I have to get the depth(h) somehow?