Hevitra ato Anatiny
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.
Famaritana ny sosona boribory
Sorona boribory (na tapa-baolina) - io no ampahany tavela eo anelanelan'ny fiaramanidina roa mifanila mifanandrify aminy. Ny sary etsy ambany dia miloko mavo.
- R dia ny radius ny baolina;
- r1 dia ny radius ny fototra tapaka voalohany;
- r2 dia ny radius ny faharoa tapaka fototra;
- h dia ny haavon'ny sosona boribory; perpendicular manomboka eo afovoan'ny fototra voalohany ka hatrany afovoan'ny faharoa.
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:
Fanamarihana:
- 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.
- isa π matetika voahodina ho 3,14.
Ohatra amin'ny olana
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
vahaolana
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):
