Question

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

Answer 1

sphere=(4πr^3)/3

cone=(hπr^2)/3

cylinder=hπr^2

They are all volumes of revolution of the form ⌠πf(x)^2 dx

Answer 2

The volume of a sphere:
V =
`(4)/(3)` ×
`\pi` × r³

The volume of a cone:
V =
`\pi` r²
`(h)/(3)`

The volume of a cylinder:
V =
`\pi` r²h

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