A hemispherical bowl made of brass has inner diameter $10.5 \mathrm{c}\mathrm{m}.$ If the cost of tin-plating it on the inside at the rate of $\mathrm{₹} 16$ per $100 \mathrm{c}{\mathrm{m}}^2$ is  $\mathrm{₹}k$ then find the value of $k$. $\left(\mathrm{Use} \mathrm{\pi }=\frac{22}{7}\right)$

Assume $\mathrm{\pi }=\frac{22}{7}$
A sphere's surface area is $154 \mathrm{c}{\mathrm{m}}^2$. If the radius of the sphere is $k \mathrm{cm}$, then the value of $k$ is (Write the answer in decimal form)

A right circular cylinder just encloses a sphere of radius $r$. The surface area of the sphere is $K{\mathrm{\pi r}}^2$. Find $K$.

Assume $\mathrm{\pi }=\frac{22}{7}$.
A right circular cylinder just encloses a sphere of radius $\mathrm{r}$.

If the curved surface area of the cylinder is of the form $k\times {\mathrm{\pi r}}^2$, then find the value of $k$.

A right circular cylinder just encloses a sphere of radius $\mathrm{r}$ (see figure). If the ratio of surface area of the sphere and curved surface area of the cylinder is $1:k,$ then find the value of $k.$(Use $\mathrm{\pi }=\frac{22}{7}$)

Take, $\mathrm{\pi }=\frac{22}{7}$.
If the volume of a right circular cone with radius $3.5 \mathrm{c}\mathrm{m},$ height $12 \mathrm{c}\mathrm{m}$ is $k {\mathrm{cm}}^3$, then find the value of $k$.