List of top Mathematics Questions on Mensuration

A chord of a circle of radius 15 cm subtends an angle of \(60^\circ\) at the centre of the circle. Find the area of the corresponding minor segment. \((\pi = 3.14, \, \sqrt{3} = 1.73)\)
Find the volume of a copper rod of length 8 cm whose diameter is 1 cm.
Total surface area of a solid hemisphere with radius \(r\) will be
If the diameter of a sphere is \(d\), then its volume 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 the hemisphere and the cone are equal, find the ratio of radius and height of the cone.
An arc of a circle of radius 21 cm subtends an angle of \( 60^\circ \) at the centre. Find the area of the sector formed by the arc.
Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line segments joining the points of contact to the centre.
The radius of the base of a right circular cone is 3.5 cm and height is 12 cm. Find the volume of the cone.
The length of the minute hand of a clock is \( r \) cm. The area of the sector swept by the minute hand in one minute will be:
The whole surface area of a solid hemisphere of diameter \( \dfrac{1}{2} \, \text{cm} \) will be:
A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of the same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
A spherical glass vessel has a cylindrical neck 7 cm long and diameter 2 cm, while the diameter of the spherical part is 8.4 cm. Find how much water can be filled in the vessel.
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:
The volume of a cube is 1331 cm$^3$. Find its each side.
Capsule is a combination of:
The distance covered by a wheel of diameter 42 cm in 2 revolutions is:
A, B, C, and D are four points on the circumference of a circle of radius 8 cm such that ABCD is a square. Then the area of square ABCD is:
What is the total perimeter of a semicircle whose radius is \( k \)?
If the radius of a circle becomes \( k \) times, then the ratio of the areas of the previous and new circles is:
If \( l \) is the slant height of a cone and \( r \) is the radius of its base, then the total surface area of the cone is:
The ratio of volumes of two spheres is \( 125 : 27 \). The ratio of their surface areas is:
A sphere of radius 8 cm is melted to form a cone of height 32 cm. The radius of the base of the cone is:
If the curved surface area of a cylinder is 1760 cm² and its diameter is 28 cm, then its height is:
Two circular cylinders of equal volume have their heights in the ratio \( 1 : 2 \). The ratio of their radii is: