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

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 $\pi=3.14$)

  • UP Board X - 2025
  • UP Board X
  • Mathematics
  • Surface Areas and Volumes
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.
  • UP Board X - 2025
  • UP Board X
  • Mathematics
  • Surface Areas and Volumes
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.
  • UP Board X - 2025
  • UP Board X
  • Mathematics
  • Surface Areas and Volumes