Answer:
Cone
Step-by-step explanation:
Options:
a) Cone b) Cube c) Cylinder d) Triangular prism
From the given options (a) to (d), option (a) is true.
This is so, because.
The volume (V) of a cone is:
[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]
This is as a result of dilating the cylinder by 1/3 whose volume is:
[tex]V_2 = \pi r^2h[/tex]
In other words:
[tex]V_1 = \frac{1}{3}V_2[/tex]
i.e. the cross-section of the cylinder (V2) being dilated by 1/3 (which is between 0 and 1) gives the cone (V1)
