4. Multiple choice question IV

1. A frustum of a right circular cone is of height $16 \ cm$ with radii of its ends as $8 \ cm$ and $20 \ cm$. Then, the volume of the frustum is:

 

2. The volume (in $cm^3$) of the greatest sphere that can be cut off from a cylindrical log of wood of base radius $1 \ cm$ and height $5 \ cm$ is:

 

3. The height and radius of the cone of which the frustum is a part are $h_1$ units and $r_1$ units respectively. Height of the frustum is $h_2$ units and radius of the smaller base is $r_2$ units. If $h_2 : h_1 = 1 : 2$ then $r_2 : r_1$ is:

 

4. The ratio of the volumes of a cylinder, a cone and a sphere, if each has the same diameter and same height is: