Question

These cones are similar. Find the volume

of the smaller cone. Round to the
nearest tenth.

Answer 1

19.6

Explanation:

I have acellus too, and honestly, I typed in 19.5, which didn't work, so I typed in 19.6 and it worked. Hope this helps!

Answer 2

19.5

Explanation:

The Volume of a cone is h/3(r²)
`\pi`

That means, for the larger cone,

66=h/3(3²)(
`\pi`)

66=h/3*9
`\pi`

66/9
`\pi`*3=h

h=7, so the height of the larger cone is seven

Since the cones are similar, it has to have the same ratio. 7/3 of 2 is 4.6666. So the height of the smaller cone is 4.66666.

Putting that in the formula,

V=(4.66666/3)(2²)
`\pi`

V=1.555555*4*
`\pi`

V=19.547