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?

Volume of cone is 21cm³

Step-by-step explanation:

volume of cylinder = πr²h

V-cylinder = 63cm³

volume of cone = (1/3)πr²h

V-cone = (1/3) × 63

= 21cm³

Step-by-step 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

Where

So,

On the other hand, the volyme of a cone is

Now, we just replace the first equation we got

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