Answer:
123 inches³
Step-by-step explanation:
Hi there!
Objective: Find the volume of the cone
We know that the cylinder had a radius of 3 inches and it had a height of 15 inches.
Because the cone had the same radius of the cylinder, we know that it has a radius of 3 inches. And because it was 2 inches shorter, it has a height of 13 inches (15-2=13).
[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the cone and h is its height
Plug in the known information (r=3 and h=13)
[tex]V=\frac{1}{3} \pi (3)^2(13)\\V=\frac{1}{3} \pi (9)(13)\\V=\frac{1}{3} \pi(117)\\V=39\pi\\V=123[/tex]
Therefore, the Inez removed about 123 inches³ of wood from the cylinder to make the cone.
I hope this helps!
