Question

A hollow cylinder with diameter 6cm is partially filled with water. A shapere of 3 cm diameter is gently dropped into the cyclinder. If it is immersed in water,then the water in the cylinder raises to a further height of

Answer 1

volume of cylinder=volume of shpere
$\pi r^{2} h = \frac{2}{3} \pi \: {r}^{}$
22/7 ×3×3×h=2/3×22/7×3
h=9/2
h=4.5

Answer 2

let the increase in the water level in the cylinder be h cm .the increase of the height because of the volume of the sphere dropped in the cylinder
therfore increase in volume of the water in cylinder =volume of the sphere
πr^2h=4/3πr^3
h=4πr^3/3πr^2
h=4×1.5×1.5×1.5/3×3×3
h=0.6 cm