Question

A vessel is in the form of hemispherical bowl surmounted by a hollow cylinder of same diameter. The diameter of the hemispherical bowl is $14cm$ and the total height of the vessel is $13cm$. Find the total surface area of the vessel. $[Use\pi =\frac{22}{7}]$

Answer 1

Radius $=7$ cm

Height of cylindrical portion $=13–7=6$ cm

Curved surface are of cylindrical portion can be calculated as follows:

$2\pi rh$

$=2\times \frac{22}{7}\times 7\times 6$

$=264c{m}^2$

Curved surface area of hemispherical portion can be calculated as follows:

$2\pi r^2$

$=2\times \frac{22}{7}\times (7{)}^2$

$=308c{m}^2$

Then, total surface area of the vessel $=308+264=572$ sq cm