A cylinder with hemispherical ends. Total height of the solids $12 \mathrm{cm}$ and the diameter of the cylinder is $7 \mathrm{cm}$. Find the volume of the solid. If total surface area of solid is $\mathrm{k} {\mathrm{cm}}^2$ then find $\mathrm{k}$. $(\text{Take} \mathrm{\pi }=22/7)$

The radii of the ends of a bucket of height $24 \mathrm{cm}$ are $15 \mathrm{cm}$ and $5 \mathrm{cm}$. If its capacity rounded off to two decimal places is $A {\mathrm{cm}}^3$, then find the value of $A$. (Take $\mathrm{\pi }=22/7$).

The radii of the ends of a bucket $30 \mathrm{cm}$ high are $21 \mathrm{cm}$ and $7 \mathrm{cm}$. If its capacity is $k \mathrm{litres}$ and the amount of sheet required to make this bucket is $A {\mathrm{cm}}^2$, then find the value of $\left(k+A\right)$. $(\text{Take} \mathrm{\pi }=22/7)$

The radii of the ends of a frustum of a right circular cone are $5 \mathrm{m}$ and $8 \mathrm{m}$ and its slant height is $5 \mathrm{m}$. Find the sum of the numeral values of the lateral surface and volume of the frustum, correct up to two decimal places. $(\text{Take} \mathrm{\pi }=22/7)$

A bucket is in the form of a frustum of a cone and holds $15.25$ litres of water. The diameters of the top and bottom are $25 \mathrm{cm}$ and $20 \mathrm{cm}$ respectively. If the area of tin used in its construction is $k {\mathrm{cm}}^2$, then find the value of $k$. $(\text{Take} \mathrm{\pi }=22/7)$