PERIODIC TEST (Paper Pen Test)

A cylindrical pencil sharpened at one edge is the combination of

A surahi is a combination of

The shape of a glass (tumbler) is usually in the form of

If two solid hemispheres of the same base radius $\mathrm{r}$ are joined together along their bases, then the curved surface area of this new solid is

A right circular cylinder of radius $r \mathrm{c}\mathrm{m}$ and height $h \mathrm{c}\mathrm{m} \left(h>2r\right)$ just encloses a sphere of diameter

Two identical solid hemispheres of equal base radius $r \mathrm{cm}$ are stuck together along their bases. Is it true that the total surface area of the combination is $6\pi r^2$? Justify your answer. 

A solid cylinder of radius $r$ and height $h$ is placed over another cylinder of the same height and radius. The total surface area of the shape so formed is $4\pi rh+4\pi r^2$. Is it true?

Justify your answer.

A solid ball is exactly filled inside the cubical box of side $a$. The volume of the ball is $\frac{4}{3}\pi a^3$. Is it true? Justify your answer.