Awọn akoonu
In this publication, we will consider formulas that can be used to calculate the volume of a spherical layer (slice of a ball), as well as an example of solving a problem to demonstrate their practical application.
Definition ti a iyipo Layer
Layer ti iyipo (tabi bibẹ pẹlẹbẹ ti bọọlu) - Eyi ni apakan ti o ku laarin awọn ọkọ ofurufu ti o jọra meji ti o npa. Aworan ti o wa ni isalẹ jẹ awọ ofeefee.
- R jẹ rediosi ti rogodo;
- r1 jẹ rediosi ti ipilẹ gige akọkọ;
- r2 jẹ rediosi ti ipilẹ gige keji;
- h ni iga ti iyipo Layer; papẹndikula lati aarin ti akọkọ mimọ si aarin ti awọn keji.
Formula for finding the volume of a spherical layer
To find the volume of a spherical layer (slice of a ball), you need to know its height, as well as the radii of its two bases.
The same formula can be presented in a slightly different form:
awọn akọsilẹ:
- if instead of base radii (r1 и r2) their diameters are known (d1 и d2), the latter must be divided by 2 to obtain their corresponding radii.
- nọmba π maa yika soke si 3,14.
Apẹẹrẹ ti iṣoro kan
Find the volume of a spherical layer if the radii of its bases are 3,4 cm and 5,2 cm, and the height is
ojutu
All we need to do in this case is to substitute the known values into one of the formulas above (we will choose the second one as an example):
