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Question 1:

The radius of a wheel of a cart is 0.25 m. In covering a distance of 11 km, how many revolutions will this wheel make?

Question 2:

Perimeter of a rectangle is 2 cm more than circumference of a circle and area of circle is 616 cm². If breadth of rectangle is equal to radius of circle, then find length of rectangle (in cm)?

Question 3:

The difference between the two perpendicular sides of a right-angled triangle is $17 \mathrm{~cm}$ and its area is $84 \mathrm{~cm}^2$. What is the perimeter (in cm) of the triangle?

Question 4:

A wheel makes 1000 revolutions in covering a distance of 44 km. Find the radius of the wheel.

Question 5:

What is the altitude of a trapezium, the sum of the lengths of whose parallel sides is $9.5 \mathrm{~cm}$ and the area is $57 \mathrm{~cm}^2$ ?

Question 6:

The radii of a cylinder and a cone are in the ratio $1: 3$, and the height of the cylinder is $1.5$ times the slant height of the cone. What is the ratio of the curved surface areas of the cylinder and the cone?

Question 7:

The width of the path around a square field is $4.5 \mathrm{~m}$ and its area is $105.75 \mathrm{~m}^{2}$. Find the cost of fencing the square field at the rate of ₹100 per metre.

Question 8:

What is the volume of a right circular cylinder whose area of the base is 40 cm$^2$ and the height is 7 cm ?

Question 9:

The curved surface area of a right circular cylinder is $3432 \mathrm{~cm}^2$ and its height is $10.5 \mathrm{~cm}$. The volume (in $\mathrm{cm}^3$ ) of the cylinder is (Take $\pi=\frac{22}{7}$ ):

Question 10:

If diagonal of a cube is $\sqrt{108} \mathrm{~cm}$, then the volume (in $\mathrm{cm}^3$ ) of the cube is: