Question

Say true or false:

The volume of the largest right circular cone that can be fitted in a cube whose edge is $2r$ equals to the volume of a hemisphere of radius $r$.

• A. True
• B. False

Answer 1

The correct option is A True

True.
Volume of the cone$=\frac{1}{3}\pi r^{2}h$
Volume of the hemisphere$=\frac{2}{3}\pi r^3$
Since volume of cone $=\frac{1}{3}\pi r^2.\left(2r\right)=\frac{2}{3}\pi r^3=$ volume of hemisphere