List of top Mathematics Questions on Surface Areas and Volumes asked in UP Board X

A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 2 cm and the height of the cone is equal to its radius. The volume of the solid will be :
A metallic sphere of radius 4.2 cm is melted and recast into the shape of a cylinder of radius 6 cm; find the height of the cylinder.

A solid is a cone standing on a hemisphere with both radii $2$ cm and the slant height of the cone $=2\sqrt{2}$ cm. Find the volume of the solid. (Use $\pi=3.14$)

A toy is in the form of a hemisphere surmounting a cone whose radius is $3.5$ cm. If the total height of the toy is $15.5$ cm, find its total surface area and volume.
A spherical glass vessel has a cylindrical neck $8$ cm long, $2$ cm in diameter, and the diameter of the spherical part is $8.5$ cm. Find the volume of water that can be filled in it.