Respuesta :
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.