Question

The volume of a right circular cone of radius r and height h is directly proportional to

• A. $r$
• B. $r^2$
• C. $h$
• D. $h^2$

Answer 1

Answer: (B), (C)

The correct options are
B $r^2$
C $h$

Volume of a right circular cone is given by the formula,
Volume = $\frac{1}{3}\pi r^{2}h$
where r is the radius of the circular base, and h is the height (the perpendicular distance from the base to the vertex).
We see that volume of the cone is directly proportinal to both $r^2$ and $h$.