Question

Isabella constructed a cylindrical vase that has a volume of 63 cubic centimeters. Jason constructed a cone that had the same height and the same radius as Isabella's cylinder. What is the volume of Jason's cone?

Answer 1

Volume of cone is 21cm³

Explanation:

volume of cylinder = πr²h

V-cylinder = 63cm³

volume of cone = (1/3)πr²h

V-cone = (1/3) × 63

= 21cm³

Answer 2

The volume of Jason's cone is 21 cubic centimeters.

Explanation:

If you think this through, you'll realise that both volumes have the same dimensions.

So, we know that the volum of a cylinder is

`V_(cylinder)=\pi r^(2) h`

Where
`V_(cylinder)=63cm^(3)`

So,
`63cm^(3) =\pi r^(2)h`

On the other hand, the volyme of a cone is

`V_(cone)=(1)/(3) \pi r^(2) h`

Now, we just replace the first equation we got

`V_(cone)=(1)/(3) * 63cm^(3) = 21cm^(3)`

Therefore, the volume of Jason's cone is 21 cubic centimeters.