Mensuration 2D

The ratio of heights of two cylinders is $3:2$and the ratio of their radii is $6:7$. What is the ratio of their curved surface areas?

The side of a square is $40 \mathrm{cm}$. If its sides increased by $25\%$, what will be a percent increase in its area?

The diameter of a wheel is $3 \mathrm{m}$. The wheel revolves $28$ times in a minute. To cover $5.280 \mathrm{km}$ distance, the wheel will take how much time? (Take $\pi =\frac{22}{7}$)

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:

The ratio between the perimeter and the breadth of a rectangle is$5 : 1$. If the area of the rectangle is $216$ sq. cm, what is the length of the rectangle$?$

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?

If the base radius and the height of a right circular cone are increased $40\%$, then find the net $\%$ increase in volume _____.

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?

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?

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

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

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

One acute angle of a right-angled triangle is double the other. If the length of its hypotenuse is $10 \mathrm{cm}$, then its area is:

The length and perimeter of a rectangle are in the ratio $5 :18$.Then length and breadth will be in the ratio______.