The biggest possible cube is taken out of a right solid cylinder of radius $15 cm$ and height $20 cm$ respectively. What will be the volume of the cube?

A spiral staircase is made up of $13$ successive semicircles, with center alternately at $A$ and $B$, starting with centre at $A$. The radii of semicircle, thus developed, are $0.5 cm, 1.0 cm, 1.5 cm$ and $2.0 cm$ and so on. The total length of spiral is:

Use $\mathrm{\pi }=\frac{22}{7}$

A cylinder, a hemisphere and a cone stand on the same base and have the same heights. The ratio of the areas of their curved surface is:

The radius of a spherical ballon, of radii $30 cm$, increases at the rate of $2 cm$ per second. Then its curved surface area increases by :

A rectangular piece of paper is $22 cm$ long and $10 cm$ wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder.

Consider the volumes of the following objects and arrange them in decreasing order of their volumes:

$1.$ A parallelepiped of length $5 cm$, breadth $3 cm$ and height $4 cm$.

$2.$ A cube of each side $4 cm$.

$3.$ A cylinder of radius $3 cm$ and length $3 cm$.

$4.$ A sphere of radius $3 cm$.