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.
Pênaseya qateke gewherî
Tebeqeya spherîk (an perçeyek topê) - ev beşê ku di navbera du balafirên paralel ên ku ew diqetînin de mayî ye. Wêneya jêrîn bi rengê zer e.
- R radiusa topê ye;
- r1 tîrêjê bingeha birrîna yekem e;
- r2 tîrêjê bingeha birrîna duyemîn e;
- h bilindahiya tebeqeya gewherî ye; perpendîkular ji navenda bingeha yekem heya navenda ya duyemîn.
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:
Notes:
- 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.
- jimare π bi gelemperî heya 3,14 têne dorpêç kirin.
Mînaka pirsgirêkê
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
Çare
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):
