Answer:
The correct option is D.
Step-by-step explanation:
The volume of cone is 12π in³.
The volume of cone is
[tex]V=\frac{1}{3}\pi r^2h[/tex]
[tex]12\pi =\frac{1}{3}\pi r^2h[/tex]
Multiply both sides by 3.
[tex]36\pi =\pi r^2h[/tex]
Divide both sides by π.
[tex]36 =r^2h[/tex] ..... (1)
It is given that base and height of cone and cylinder are equal.
The volume of cylinder is
[tex]V=\pi r^2h[/tex]
Using equation (1), we get
[tex]V=\pi (36)[/tex]
[tex]V=36\pi[/tex]
Therefore the volume of cylinder is 36π and option D is correct.
