Question

A solid sphere of metal with diameter 20 cm. is melted and poured into a cylindrical vessel with diameter 30 cm. To what hieght in cm will metal rise in vessel

Answer 1

Height of Cylindrical vessel $h = \textrm{9.29 cm}$

Explanation:

Given that,

Sphere diameter $d_s = \textrm{20 cm}$ ⇒ $r_c = \textrm{10 cm}$

Cylindrical vessel diameter $d_c = \textrm{30 cm}$ ⇒ $r_c = \textrm{15 cm}$

Cylindrical vessel height $=$?

As we know that,  

Volume of sphere = volume of vessel

$\frac{4}{3}\pi r^{3}_s = \pi r^{2}_c h$

$h =\frac{4\times 10^{3}}{3 \times 15^{2}}$

Height of Cylindrical vessel $h = \textrm{9.29 cm}$