# A Silver cup has a shape of a hemisphere surmounted by cylinder. The common diameter is 10.5 cm The total height is 11.25 cm. find its volume?

Consider the figure,

Here, we need to find the volume of a silver cup. So, we are given
Diameter of the hemisphere = 10.5 cm
Radius of the hemisphere (r) = $\left(\frac{10.5}{2}\right)cm$
= 5.25 cm
Volume of the hemisphere (V) = $\frac{2}{3}{\mathrm{\pi r}}^{3}$
$=\left(\frac{2}{3}\right)\left(\frac{22}{7}\right){\left(5.25\right)}^{3}\phantom{\rule{0ex}{0ex}}=\left(\frac{44}{21}\right)\left(144.70\right)\phantom{\rule{0ex}{0ex}}=\frac{6366.94}{21}\phantom{\rule{0ex}{0ex}}=303.19c{m}^{3}$
Also, for the cylinder
Volume (V1) = ${\mathrm{\pi r}}^{2}\mathrm{h}$
$=\left(\frac{22}{7}\right){\left(5.25\right)}^{2}\left(6\right)\phantom{\rule{0ex}{0ex}}=\frac{3638.25}{7}\phantom{\rule{0ex}{0ex}}=519.75{\mathrm{cm}}^{3}$