What are the formulas for the volumes of a sphere, a cone with a height equal to its radius, and a cylinder with its height equal to its radius? How are these formulas related? Plz help

Respuesta :

irspow
sphere=(4πr^3)/3

cone=(hπr^2)/3

cylinder=hπr^2

They are all volumes of revolution of the form ⌠πf(x)^2 dx
The volume of a sphere:
V = 
[tex] \frac{4}{3} [/tex] × [tex] \pi [/tex] × r³

The volume of a cone:
V = [tex] \pi [/tex] r² [tex] \frac{h}{3} [/tex]

The volume of a cylinder:
V = [tex] \pi [/tex] r²h

Hmm... they're related because, um, the all have radius, pi and a (²) or (³)
Ver imagen MLPshine