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

A chord of a circle of radius 21 cm subtends a right angle at the centre. Find the area of the corresponding minor segment.
If two cubes each of volume 8 cm\(^3\) are joined end-to-end, then the surface area of the resulting cuboid will be:
Capsule is a combination of:
The volume of a cube is 1331 cm$^3$. Find its each side.
A solid is of the cylindrical shape and its both ends are hemispherical. The total height of the solid is 19 cm and the radius of the cylinder is 3.5 cm. Find the volume and total surface area of the solid.
Slant height of a right circular cone is 13 cm and its total surface area is 90\( \pi \) cm\(^2\). Find the diameter of its base.
Volume of a cube is 729 cubic cm. Find its total surface area.
Area of the square which can be drawn in the circle of radius 4 cm will be
Area of the base of a right circular cylinder is 9\( \pi \) cm\(^2\). Radius of its base will be
Find the area of a sector whose angle is \( 30^\circ \) of a circle whose radius is 4 cm. Also, find the area of the corresponding major sector.
If a copper rod whose diameter is 1 cm and length 8 cm is melted and recasted into another rod whose length is 18 cm, then find the width of the rod.
There is a frustum of a cone whose height is 45 cm. If the radii of its ends are 28 cm and 7 cm, find its volume, curved surface area, and total surface area. (Use \( \pi = \frac{22}{7} \))
If the area and perimeter of a circle are numerically the same, then the radius of that circle will be:
If ratio of volumes of two spheres is \( 27 : 64 \), then ratio of their surface areas will be:
A well of 3 meter in diameter is dug to a depth of 14 meter. An embankment is made by spreading the soil out of it, making a circular ring of 4 meters wide, evenly around the well. Find the height of the embankment.
A hollow sphere whose inner and outer diameters are 4 cm and 8 cm respectively is melted to form a cone whose base is 8 cm in diameter. Find the slant height and curved surface area of the cone.
Prove that the twice of the volume of a cylinder is equal to the product of its radius of base and curved surface.
The circumferences of two circles are in the ratio 3:2, then the ratio of their areas will be:
If two hemispheres of equal radius \( r \) are joined by their bases, then the curved surface area of this new solid will be:
An arc of a circle of radius 21 cm subtends an angle of 60° at the centre. Find the area of the sector formed by the arc and the area of the segment formed by the corresponding chord.
A cylindrical bucket of 32 cm height and 18 cm base radius is full of sand. This bucket is emptied on the ground and a conical mound of sand is formed. If the height of this mound is 24 cm, then find its radius and slant height.
The whole surface area of a solid hemisphere of diameter \( \frac{1}{2} \) cm will be :
An arc of a circle of radius 6 cm subtends an angle of \( 60^\circ \) at the centre. The area of the sector will be:
A metallic solid sphere of radius 10.5 cm is melted and recast into smaller solid cones, each of radius 3.5 cm and height 3 cm. Thus, how many such cones will be made?
A copper rod of diameter 1 cm and 8 cm length is stretched to form a wire of uniform thickness with length 18 m. Find the thickness of the wire.