- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# 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.

"

Given:

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.

To do:

We have to find the inner surface area of the vessel.

Solution:

Diameter of the hemisphere $=14 \mathrm{~cm}$

This implies,

Radius of the hemisphere $=\frac{14}{2}$

$=7 \mathrm{~cm}$

Curved surface area of the hemisphere $=2 \pi r^{2}$

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

$=308 \mathrm{~cm}^{2}$

Radius of the cylinder part $=$ Radius of hemisphere

$=7 \mathrm{~cm}$

Height of the cylinder $=$ Total height $-$ Radius of hemisphere

$=13-7$

$=6 \mathrm{~cm}$

Curved surface area of the cylinder $=2 \pi r h$

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

$=264 \mathrm{~cm}^{2}$

Total inner Surface area of the vessel $=$ Curved surface area of the hemisphere $+$ Curved surface area of the cylinder

$=308+264$

$=572 \mathrm{~cm}^{2}$

The inner surface area of the vessel is $572 \mathrm{~cm}^{2}$.

- Related Questions & Answers
- Find the perimeter of a cylinder in C++
- What is the height of marketing?
- Find the perimeter of a cylinder in Python Program
- Python Program for Find the perimeter of a cylinder
- Java Program to find the perimeter of a cylinder
- What is the height of the status bar in Android?
- What is meant by the Duration of a Bond?
- What is the total weight of all consumables a human consume in a day?
- How to draw a hollow circle in SVG?
- What is the full form of SSL?
- What is the full form of ARPANET?
- What is the full form of AURP?
- What is the full form of WWW?
- What is the full form of VCD?
- Why the President and the governor of India is called a puppet of the ministry?
- Find the Diameter or Longest chord of a Circle in C++