Question

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.

• A. $557c{m}^2$
• B. $517c{m}^2$
• C. $537c{m}^2$
• D. $572c{m}^2$

Answer 1

The correct option is D $572c{m}^2$

Radius=$7$cm

Height of the cylindrical portion$13-7=6$cm.

Area of a Curved surface of cylindrical portion is,

=$2\pi rh$

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

=$264c{m}^2$

Area of a curved of hemispherical portion is

=$2\pi r^2$

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

=$308c{m}^2$

$\therefore$ total surface area is $=308+264=572c{m}^2$.