List of top Mathematics Questions on Mensuration asked in UP Board X

If the circumference of a circle is equal to the perimeter of a square, the ratio of their areas will be:
A rectangular sheet of paper 40 cm \( \times \) 22 cm is rolled to form a hollow cylinder of height 40 cm. The radius of the cylinder will be:
The radius of the base of a cone is 3.5 cm and the height is 12 cm. Find the slant height of the cone.
In the figure, the area of sector OAB will be:
A solid is in the shape of a cone which is surmounted on a hemisphere of same base radius. If the curved surfaces of hemisphere and cone are equal, find the ratio of radius and height of the cone.
A solid sphere is made by melting the three metallic solid spheres of diameters 12 cm, 16 cm and 20 cm. Find the diameter of this solid sphere.
The dimensions of a metallic solid cuboid are \( 9 \, \text{m} \times 8 \, \text{m} \times 2 \, \text{m} \). It is melted and recast into cubes of dimension 2 m. Thus the number of cubes so formed will be:
Two cubes each of volume 64 cm\(^3\) are joined end to end to form a cuboid. Find the total surface area of the resulting cuboid.
A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around the well in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.
In the figure, AB and CD are two perpendicular diameters of a circle with center O. OD is the diameter of the smaller circle. If OA = 7 cm, find the ratio of the areas of the smaller and larger circles.
The number of solid spheres, each of diameter $6$ cm, that can be made by melting a solid metal cylinder of height $45$ cm and diameter $4$ cm is:
If the radii of two circles are 4 cm and 3 cm respectively, then the radius of the circle having area equal to the sum of the areas of these circles is:
Two cubes of volume 64 cm\(^3\) each are joined end to end to make a solid. Find the surface area of the resulting cuboid.
A sphere of diameter 12 cm is dropped into a right circular cylindrical vessel partly filled with water. If the sphere is emersed completely in the water, the water level in the cylindrical vessel rises by \( \frac{35}{9} \) cm. Find the diameter of the cylindrical vessel.
The base radius of a right circular cone is 3.5 cm and height is 12 cm. Find the slant height of the cone.
If the radius of a sphere is doubled, then the increase in percentage of its surface area will be: