Question

I’m confused on this one

Answer 1

The volume of a cone is one-third the volume of a cylinder into which the cone would fit, that is: base times height, divided by three:
`V=(Bh)/(3)`. Since the base is a circle we have:
`V=\pi r^(2)(h)/(3)`. By Cavalieri's Principle this holds even for slanted cones such as this one.

Thus:

`V=\pi r^(2)(h)/(3)`

`V=\pi ((8)/(4))^(2)((6)/(3))`

`V=\pi 4^(2)(2)`

`V=32\pi`

`V\approx 100.5units^(3)`

Answer 2

volume of cone = (1/3)(pi)(r^2)h

r = radius = diameter/2 = 8/2 = 4

h = height = 6

volume = (1/3)(3.14159)(4^2)(6)

volume = 100.53096...

Answer: 100.5 units^3