The interior of a building is in the form of a cylinder of base radius $12 \mathrm{m}$ and height $3.5 \mathrm{m}$, surmounted by a cone of equal base and slant height $12.5 \mathrm{m}$. Find the internal curved surface area. If the capacity of the building is $\mathrm{k} {\mathrm{m}}^3$ 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. $(\text{Take} \mathrm{\pi }=22/7)$