Mensuration

The ratio between the curved surface area and the total surface area of right circular cylinder is$1:2$ . If the total surface area is $616 {\mathrm{cm}}^2$, the volume of cylinder is _____.

A boat having a length $3\mathrm{m}$ and breadth $2\mathrm{m}$ is floating on a lake. The boat sinks by $1\mathrm{cm}$ when a man gets on it. The mass of the man is_____.

The length, breadth and height of a cuboid are in the ratio $3 : 4 : 6$ and its volume is $576 {\mathrm{cm}}^3$. Find the whole surface area of the cuboid.

If the incentre of an equilateral triangle lies inside the triangle and its radius is $3 \mathrm{cm}$, then the side of the equilateral triangle is:

A right circular cone is exactly fitted inside a cube in such a way that the edges of the base of the cone are touching the edges of one of the faces of the cube and the vertex touches the opposite face of the cube. If the volume of the cube is $343 {\mathrm{cm}}^3$. What is the approximate volume of the cone?

Two cones have their heights in the ratio $1 : 2$ and the diameters of their bases are in the ratio $2 : 1$. What will be the ratio of their volumes?

The perimeter of a square and a rectangle is$48$ m each. The differences between the areas of the two is $4$ m^$2$. The measurements of the rectangle (in metres) are

A right-angled isosceles triangle is inscribed in a semi-circle of radius $7 \mathrm{cm}$. The area enclosed by the semicircle but exterior to the triangle is:

Two small circular parks of diameters $16 \mathrm{m}, 12 \mathrm{m}$ are to be replaced by a bigger circular park. What would be the radius of this new park, if the new park occupies the same space as the two small parks?

The area of the triangle formed by the three lines $x=4$, $y=3$ and $3x+4y=12$ is equal to:

The perimeter of a circle, a square and an equilateral triangle are same, and their areas are C, S and T respectively. Which of the following statement is true?

If the volume and the surface area of a sphere are numerically equal, them the numerical value of then radius of the sphere is _____.

The area of a square is $441 {\mathrm{m}}^2$. It's side is equal to the radius of a circle. Find the circumference of the circle.

A playground is in the shape of a rectangle. A sum of $₹1000$ was spent to make the ground usable at the rate of$25 paise$ per square metre. The breadth of the ground is $50 metre$. If the length of the ground is increased by $20 metre$, what will be the expenditure in rupees at the same rate per square metre?

The sum of length, breadth and height of a cuboid is $19 \mathrm{cm}$ and its diagonal is $11 \mathrm{cm}$. Find the surface area of the cuboid.

If the side of square is increased by 25%, then the area is increased by -

What will be the volume of a right triangular prism if the area of its base is $36 {\mathrm{cm}}^2$ and height is $5 \mathrm{cm}$?

Find the area of a regular octagon whose side $10 cm.$

The paint in a certain container is sufficient to paint an area equal to$9.375 {\mathrm{m}}^2$. How many bricks of dimensions $22.5 \mathrm{cm}\times 10 \mathrm{cm}\times 7.5 \mathrm{cm}$ can be painted out of this container?

If a regular hexagon is inscribed in a circle of radius $r,$ then its perimeter$?$