VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)

The radii of the base of a cylinder and a cone are in the ratio $3:4$ and their heights are in the ratio $2:3$. What is the ratio of their volumes?

If $r{}_1$and $r_2$ denote the radii of the circular bases of the frustum of a cone such that $r_1>r_2$, then write the ratio of the height of the cone of which the frustum is a part to the height of the frustum.

If the slant height of the frustum of a cone is $6 \mathrm{cm}$ and the perimeters of its circular bases are $24 \mathrm{cm}$and $12 \mathrm{cm}$ respectively. What is the curved surface area of the frustum ?

If the areas of circular bases of a frustum of a cone are $4 {\mathrm{cm}}^2$ and $9 {\mathrm{cm}}^2$ respectively and the height of the frustum is $12 \mathrm{cm}$. What is the volume of the frustum?

The surface area of a sphere is $616 {\mathrm{cm}}^2$. Find its radius. $(\text{Take} \mathrm{\pi }=22/7)$

A cylinder and a cone are of the same base radius and of same height. Find the ratio of the value of the cylinder to that of the cone.

The slant height of the frustum of a cone is $5 \mathrm{cm}$. If the difference between the radii of its two circular ends is $4 \mathrm{cm}$, write the height of the frustum.

Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?