If the lateral surface area of a cylinder is $94.2 \, cm^2$ and its height is $5 \, cm$,then find its volume. (Use $\pi = 3.14$) (in $, cm^3$)

The front compound wall of a house is decorated by wooden spheres of diameter $21 \, cm,$ placed on small supports as shown in the figure. Eight such spheres are used for this purpose,and are to be painted silver. Each support is a cylinder of radius $1.5 \, cm$ and height $7 \, cm$ and is to be painted black. Find the cost of paint required if silver paint costs $25$ paise per $cm^2$ and black paint costs $5$ paise per $cm^2$.

$A$ soft drink is available in two packs: $(i)$ a tin can with a rectangular base of length $5 \, cm$ and width $4 \, cm$ having a height of $15 \, cm$,and $(ii)$ a plastic cylinder with a circular base of diameter $7 \, cm$ and height $10 \, cm$. Which container has greater capacity and by how much (in $, cm^3$)?

Find the radius of a sphere whose surface area is $154 \, cm^2$. (in $, cm$)

$A$ cubical box has each edge $10\, cm$ and another cuboidal box is $12.5\, cm$ long, $10\, cm$ wide and $8\, cm$ high. Which box has the smaller total surface area and by how much (in $ cm^2$)?

$A$ right triangle $ABC$ with sides $5 \, cm, 12 \, cm$ and $13 \, cm$ is revolved about the side $12 \, cm$. Find the volume of the solid so obtained. Also,find the volume of the solid obtained when the same triangle is revolved about the side $5 \, cm$. Finally,find the ratio of the volumes of the two solids.