- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- 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 medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see figure). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.

"

Given:

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see figure). The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm.

To do:

We have to find its surface area.

Solution:

Diameter of each hemispherical end $=5 \mathrm{~mm}$

This implies,

Radius of each hemispherical end $=\frac{5}{2} \mathrm{~mm}$

Therefore,

Surface area of each hemispherical end $=2 \pi^{2}$

$=2 \times \frac{22}{7} \times \frac{5}{2} \times \frac{5}{2}$

$=\frac{275}{7} \mathrm{~mm}^{2}$

Surface area of both hemispherical ends $=\frac{2 \times 275}{7} \mathrm{~mm}^{2}$

$=\frac{550}{7} \mathrm{~mm}^{2}$

Total length of the capsule $=14 \mathrm{~mm}$

Length of the cylindrical surface $=$ Total length $-$ Radii of both hemispherical ends

$=14-2(\frac{5}{2})$

$=14-5$

$=9 \mathrm{~mm}$

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

$=2 \times \frac{22}{7} \times \frac{5}{2} \times 9$

$=\frac{990}{7} \mathrm{~mm}^{2}$

Total surface area of the capsule $=$ Area of both hemispherical ends $+$ Area of the cylindrical portion

$=\frac{550}{7}+\frac{990}{7}$

$=\frac{1540}{7} \mathrm{~mm}^{2}$

$=220 \mathrm{~mm}^{2}$.

- Related Questions & Answers
- What is the maximum length of each type of identifier in MySQL?
- Find the perimeter of a cylinder in C++
- Write a MySQL query where length of the records is longer than 1?
- Java Program to find the perimeter of a cylinder
- Find the perimeter of a cylinder in Python Program
- How to get the length, size, and shape of a series in Pandas?
- What is the max length of a Python string?
- Build a radial gradient with the shape of a circle
- Python Program for Find the perimeter of a cylinder
- Make a group of buttons span the entire width of the screen with Bootstrap
- Python Pandas - Get a tuple with the length of each level from MultiIndex
- What is the synonym statement of SHOW DATABASES with the help of which we can see the list of MySQL databases?
- What is the maximum length of a table name in MySQL?
- How to set the margins of a Matplotlib figure?
- Write a program in C++ to count the Number of substrings that starts with ‘1’ and ends with ‘1’
- Python Pandas - Return a tuple of the shape of the underlying data