Answer:
volume of cone is 8 cubic inches.
Step-by-step explanation:
We have been given that volume of cylinder = 24 cubic inches.
Since, cone fits exactly inside of the cylinder hence, we have
Volume of cylinder = volume of cone
Now, we know the formula
Volume of cone = [tex]\frac{1}{3}\pi r^2h[/tex]
Volume of cylinder = [tex]\pi r^2h[/tex]
Now, we have been given that
[tex]\pi r^2h=24[/tex]
Therefore, we have
Volume of cone is given by
[tex]\frac{1}{3}\times24\\\\=8[/tex]
Hence, volume of cone is 8 cubic inches.
