Question

Question 2
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

Answer 1

Radius $=7cm$
Height of cylindrical portion $=13–7=6cm$
Curved surface area 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:
$=2\pi r^2$
$=2\times \frac{22}{7}\times 7\times 7$
$=308c{m}^2$
Total surface area
= Curved surface area of hemispherical portion+Curved surface area of cylindrical portion
$=308+264=572sqcm$