Answer:
d. 72 in³
Step-by-step explanation:
To find the volume of a cylinder that a cone of volume 24 cubic inches fits in exactly inside of, we will follow the steps below:
From the question volume of the cone = 24 cubic inches
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
and volume of a cylinder = πr²h
This implies
volume of a cone = [tex]\frac{1}{3}[/tex] πr²h
= [tex]\frac{1}{3}[/tex] (volume of a cylinder)
volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
24 = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
multiply both-side of the equation by 3
24×3 = [tex]\frac{1}{3}[/tex] (volume of a cylinder)
72 =volume of a cylinder
Therefore volume of the cylinder that the cone fits exactly inside of is 72 cubic inches
