PDF chapter test TRY NOW
Hemisphere:
A section of the sphere cut by a plane through any of its great circles is a hemisphere. In another way, we can say, one half of a sphere is called a hemisphere.
Volume of a hemisphere:
Let \(r\) be the radius of a sphere.
Volume of a hemisphere \(=\) \(\times\) Volume of a sphere
\(=\)
\(=\)
Volume of a hemisphere \(=\) cu. units
![shutterstock_1885390273 (1).jpg](https://resources.cdn.yaclass.in/79bc07f5-8c67-4b3c-93c1-4f4b9142d09e/shutterstock18853902731w300jpg.jpg)
Volume of hollow hemisphere (volume of the material used):
![draw1png.png](https://resources.cdn.yaclass.in/e10c3365-5226-4498-a722-a699dc7ca849/draw1pngw300.png)
Let \(r\) be the inner radius and \(R\) be the outer radius of the hollow hemisphere.
Volume of hollow hemisphere \(=\) Volume of the outer hemisphere \(-\) Volume of the inner hemisphere
\(=\) \(-\)
\(=\)
Volume of a hollow hemisphere \(=\) cu. units
Important!
The value of \(\pi\) should be taken as unless its value is shared in the problem.