ac49948
contestada

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?

Respuesta :

C1042

Answer:

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

Answer:

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

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

[tex]V_{cylinder}=\pi r^{2} h[/tex]

Where [tex]V_{cylinder}=63cm^{3}[/tex]

So, [tex]63cm^{3} =\pi r^{2}h[/tex]

On the other hand, the volyme of a cone is

[tex]V_{cone}=\frac{1}{3} \pi r^{2} h[/tex]

Now, we just replace the first equation we got

[tex]V_{cone}=\frac{1}{3} \times 63cm^{3} = 21cm^{3}[/tex]

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