Question

Can you help me plss! ​

Answer 1

(1/3) × the cone's volume = The cylinder's volume.

Explanation:

Step 1:

The volume of any cone is obtained by multiplying
`(1)/(3)` with π, the square of the radius (
`r^(2)`) and the height (
`h`).

So the volume of the cone,
`V=\pi r^(2) (h)/(3)`.

Step 2:

The cylinder's volume is nearly the same as the cone but instead by multiplying
`(1)/(3)` we multiply with 1.

So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder (
`r^(2)`) and the height of the cylinder (
`h`).

So the the cone's volume,
`V = \pi r^(2) h`.

Step 3:

Now we equate both the volumes to each other.

The cone's volume : The cylinder's volume =
`\pi r^(2) (h)/(3): \pi r^(2) h` =
`(1)/(3) : 1`.

So if we multiply the cone's volume with
`(1)/(3)` we will get the cylinder's volume with the same dimensions.