Question

What is the volume of a right circular cone of base radius r, height h and slant height l?

• A. $\pi r^{2}h$
• B. $\frac{1}{2}\pi r^{2}h$
• C. $\frac{1}{3}\pi r^{2}h$
• D. $2\pi r^{2}h$

Answer 1

The correct option is C $\frac{1}{3}\pi r^{2}h$

The volume of the cone is one-third the volume of the cylinder.
Volume of cylinder of base radius r and height h is $\pi r^{2}h$.
Therefore, volume of cone = $\frac{1}{3}\pi r^{2}h$