Name: Surface Area of Hollow Cylinders
Uploaded: 2019-07-19
Duration: 6 min 11 s
Description: What do a tube and a drinking straw have in common? Both are cylindrical and have hollow ends. So, we call them hollow cylinders. Learn to find their surface...

Question

A vessel in the form of hollow hemisphere mounted by a hollow cylinder.The diameter of hemisphere is

14 c m

and total height of the vessel is

13 c m

.Find the inner surface area of vessel.

Accepted Answer

Let the radius of the cylindrical part as well as hemispherical part be $r$ .

Given the diameter of the hemisphere part is $14 c m$ .

$\Rightarrow 2 r = 14$

$\Rightarrow r = 7 cm$

Here we can also say height of hemisphere is $7 cm$ which is radius of the hemisphere.

Now let the height of the cylindrical part be $h$ .

Given height of the vessel is $13 c m$ ,

Hence, height of the cylindrical part $h = 13 - 7 = 6 cm$ .

We know, inner surface area of the hemisphere = $2 π r^{2}$ and inner surface area of the cylinder $= 2 π r h$ .

Total inner surface area of the vessel $=$ Inner surface area of the hemisphere $+$ Inner surface area of the cylindrical part

Total inner surface area of the vessel = $2 π r^{2} + 2 π r h$ .

Total inner surface area of the vessel $= 2 \times \frac{22}{7} \times 7 \times 7 + 2 \times \frac{22}{7} \times 7 \times 6$

$= 44 (7 + 6)$

^{$= 572 {cm}^{2}$}

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

Important Questions on Surface Areas and Volumes

Learn and Prepare for any exam you want !

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

Important Questions on Surface Areas and Volumes

Learn and Prepare for any exam you want !

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