Question

Radius and height of a right circular cone and that of a right circular cylinder are respectively, equal. If the volume of the cylinder is $120{cm}^3$, then the volume of the cone is equal to

• A. $1200{cm}^3$
• B. $360{cm}^3$
• C. $40{cm}^3$
• D. $90{cm}^3$

Answer 1

The correct option is C $40{cm}^3$

Volume of a right circular cone$=\frac{1}{3}\pi r^{2}h$

Volume of right circular cylinder$=\pi r^{2}h$

Comparing the above we have

Volume of a right circular cone$=\frac{1}{3}\times$Volume of right circular cylinder

Volume of a right circular cone$=\frac{1}{3}\times 120$cubic cm.(given)

$\therefore$ Volume of a right circular cone$=40$cubic cm