A sector as shown in the figure is assembled to form a cone. What is the base radius (in cm) of the cone so formed ? $\left(\pi = \frac{22}{7}\right)$

A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 6 cm and 8 cm, the edge of the third smaller cube is?

A rectangular sheet 50 cm by 30 cm is rolled along the 30 cm side to form a cylinder (open at both ends). The radius of the cylinder is:

Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. The surface area of new cube is:

The area of four walls of a rectangular hall having length 18 m and height 8 m is 448 m$^2$. What is the breadth of the hall (in m)?

If the outer surface area of cylinder is pointed @ Rs 0.5/cm^2, then the total cost of painting is

If the ratio of the radii of the sphere and hemisphere is √3:2, then determine the ratio of their total surface area?