Answer:
72 cubic inches
Step-by-step explanation:
Volume of cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] --1
Volume of cylinder = [tex]\pi r^{2} h[/tex] --2
We are given that a cylinder should fit exactly inside the cone
On comparing 1 and 2 we can see:
[tex]\text{Volume of cone}= \frac{1}{3} \text{Volume of cylinder}[/tex]
Since we are given the volume of cone is 24 cubic inches .
So, [tex]24= \frac{1}{3} \text{Volume of cylinder}[/tex]
[tex]24 \times 3= \text{Volume of cylinder}[/tex]
[tex]72= \text{Volume of cylinder}[/tex]
Hence the volume of cylinder is 72 cubic inches
Option D is correct.
