A solid toys in the form of a hemisphere surrounded by a right circular cone. The height of cone is $4 \mathrm{cm}$ and the diameter of the base is $8 \mathrm{cm}$. Determine the volume of the toy. If a cube circumscribes the toy, then find the difference of the volumes of cube and the toy. If the total surface area of the toy rounded off to two decimal places is $k {\mathrm{cm}}^2$ then find $k$..$(\text{Use} \mathrm{\pi }=22/7)$

The perimeters of the ends of a frustum of a right circular cone are $44 \mathrm{cm}$ and $33 \mathrm{cm}$. If the height of the frustum is $16 \mathrm{cm}$, find the slant surface and the total surface. $(\text{Use} \mathrm{\pi }=22/7)$ If the volume of the frustum is $k {\mathrm{cm}}^3$ then find $k$.

The radii of the circular ends of a bucket which is in the shape of a frustum of a cone with height $45 \mathrm{cm}$ are $28 \mathrm{cm}$ and $7 \mathrm{cm}$. If the capacity of the bucket is $x {\mathrm{cm}}^3$, then find the value of $x$. $($Take $\mathrm{\pi }=22/7)$ 

If the radii of the circular ends of a bucket $24 \mathrm{cm}$ high are $5 \mathrm{cm}$ and $15 \mathrm{cm}$ respectively, If the surface area of the bucket is $k\mathrm{\pi } {\mathrm{cm}}^2$ then find $k$.