- 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 spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter, the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be $345\ cm^3$. Check whether she is correct, taking the above as the inside measurements, and $\pi = 3.14$.

Given:

A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter, and the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be $345\ cm^3$.

To do:

We have to check whether the child is correct or not.

Solution:

The volume of water the glass vessel can hold $= 345\ cm^3$

Radius of the cylindrical part $= \frac{2}{2}$

$= 1\ cm$

Height of the cylindrical part $= 8\ cm$

Therefore,

The volume of the cylindrical part $= \pi r^2h$

$= 3.14 \times (1)^2 \times 8$

Diameter of the spherical part $=8.5\ cm$

This implies,

Radius $= \frac{8.5}{2}$

$= \frac{85}{20}$

$=\frac{17}{4}\ cm$

Therefore,

Volume of the spherical part $=\frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \times 3.14 \times \frac{17 \times 17 \times 17}{4 \times 4 \times 4}$

$=321.39 \mathrm{~cm}^{3}$

The total volume of the glass vessel $=$ Volume of the cylindrical part $+$ Volume of the spherical part

$= 25.12 + 321.39$

$= 346.51\ cm^3$

Volume measured by the child is $345\ cm^3$ which although close is not exactly correct.

- Related Questions & Answers
- Call if minus (CM) in 8085 Microprocessor
- Converting km per hour to cm per second using JavaScript
- The focal length of a spherical mirror in Python Program
- C++ program to find nth Term of the Series 1 2 2 4 4 4 4 8 8 8 8 8 8 8 8 …
- Python Program for the focal length of a spherical mirror
- Find the Diameter or Longest chord of a Circle in C++
- Java Program for focal length of a spherical mirror
- Find the other-end coordinates of diameter in a circler in C++
- Tree Diameter in C++
- Program to find the diameter of a n-ary tree in Python
- Find the center of the circle using endpoints of diameter in C++
- Sum of the series 2 + (2+4) + (2+4+6) + (2+4+6+8) + ... + (2+4+6+8+...+2n) in C++
- Diameter of Binary Tree in Python
- Program to find the diameter, cycles and edges of a Wheel Graph in C++
- Diameter of a Binary Tree in O(n) [A new method] in C++?
- How essential the emergency restart is in windows 8