List of top Mathematics Questions on Mensuration

A boy, Chintu while playing with modelling clay, changes a cone shaped toy into a spherical toy. The height of the cone was 20cm and radius of base was 5 cm. Find the radius and the surface area of the sphere
If the area of a square is 575 square units, then the approximate value of its side is:
A rectangular garden has a length that is 3 meters more than its width. If the area of the garden is 88 square meters, what is the width of the garden?
Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertices of the assembled cones, what shape does the outer boundary of the resulting cross-section make?
If the lengths of the three sides of a trapezium other than the base are 10 cm each, then the maximum area of the trapezium is:
Three solid spheres, whose radii are 3 cm, 4 cm and 5 cm melted into a single sphere, its radius is
The number of 6 cm cubes can be cut from a cuboid measuring 36 m \(\times\) 15 m \(\times\) 8 m is
The length of a rectangle is 8 cm more than its breadth. If the perimeter of the rectangle is 68 cm, then its length and breadth is
A Verandah of area 90 m\(^2\) is around a room of length 15 m and breadth 12 m. The width of the verandah is:
Determine the ratio of the volume of a cube to that of the sphere which will exactly fit inside the cube.
Determine the ratio of the volume of a cube to that of the sphere which will exactly fit inside the cube.
The volume of a cube is increasing at the rate of \( 6 \, \text{cm}^3/\text{s} \). How fast is the surface area of the cube increasing, when the length of an edge is \( 8 \, \text{cm} \)?
By taking out a hemisphere from both the ends of a wooden solid cylinder, an item is formed. If the height of the cylinder is 10 cm and radius of the base is 3.5 cm, find the total surface area of the item.
If the perimeter of a garden of area 800 m$^2$ is 120 m and its length is twice the breadth, then find its length and breadth.
The surface area of a sphere of diameter $\dfrac{1}{2}$ cm will be

Find the total surface area of the given figure where $AB = 3.5 \text{ cm}$ and height of the toy $CD = 5 \text{ cm.}$ 

Rasheed got a spinning top (Lattu) as his birthday present. The top is shaped like a cone surmounted by a hemisphere. The entire top is 5 cm in height and the diameter of the top is 3.5 cm as shown in the figure. Find the area Rasheed has to colour. (Take } $\pi = \dfrac{22}{7}$ 

A juice seller was serving his customers using glasses as shown in the given figure. The inner diameter of the cylindrical glass was 5 cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of the glass was 10 cm, then find the apparent capacity of the glass and its actual capacity. (Take } $\pi = 3.14$ \textbf{) 

A chord of a circle of radius 15 cm subtends an angle $60^\circ$ at the centre. Find the area of minor and major sectors of the circle. \[ (\pi = 3.14, \ \sqrt{3} = 1.73) \]
The angle of a sector of a circle of radius 4 cm is $60^\circ$. Its area will be
The radius of the base of a cylinder is 3.5 cm. If its height is 8.4 cm, then its curved surface area will be
If a pipe drained the water from a semi-spherical tank filled with water at the rate of $3 \dfrac{4}{7}$ litres per second, how much time will the pipe take to drain half of the water of the tank if the diameter of the tank is 3 m?
Total surface area of a solid hemisphere with radius $r$ will be
The diameter of a solid pipe is 4 cm whose length is 20 cm. Then the volume of the metal used in the pipe will be
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. \((\pi = 3.14, \, \sqrt{3} = 1.73)\)