A solid sphere of diameter 12 cm is melted and three shorts are prepared. If the diameters of two shorts are 6 cm and 10 cm respectively, what is the surface area (in cm ²) of the third short?

What is the diameter (in cm) of a sphere of surface area 1386 cm ²?

The surface area of three faces of a cuboid sharing a vertex are 20 m ², 32 m ²and 40 m ². What is the volume of the cuboid?

A shuttle cock used for playing badminton has the shape of a frustum of a cone mounted on a hemisphere. The two diameters of the frustum are 5 cm and 2 cm, the height of the entire shuttle cock is 6 cm. Find the external surface area.

Find mass of an iron cube of side 2 cm. (Density of iron is 7.8 gm/cm ³)

If the curved surface area of a cone of radius 14 cm is 2200 cm ², find its height (in cm).

What is the side of a cube if the total surface area is 96 sq. cm?

The area of the base of a cone is 144π cm ²while its slant height is 13 cm. This cone is remoulded to obtain a solid sphere. The radius of this sphere will be-

The area of the base of a cone is 64π cm ²while its slant height is 17 cm. This cone is remoulded to obtain a solid sphere. Find the radius of this sphere.

A cone and a hemisphere have equal bases and volumes. What is the ratio of the height of the cone to the radius of the hemisphere?

If the surface area of a sphere is 64 π cm ², then the volume of the sphere is:

Find the surface area of a sphere of diameter 21 cm. (Use π = \(\frac{{22}}{7}\) )

A cube is 7 cm of an edge and another cube is 14 cm on an edge. The ratios of their surface areas are