Mark the right statements.
1. The lateral surfaces of a pyramid are triangles with a common vertex.
2. A pyramid is a special case of a prism.
3. Volume of a pyramid = $$\frac{1}{3}$$​× base area × vertical height
4. Volume of a prism = $$\frac{1}{2}$$​ × base area × height

The volume of a right circular cylinder is 4851 cm³ and its curved surface area is 462 cm². If this cylinder is generated by rotating a rectangle about its length by 360°, what will be the perimeter (in cm) of this rectangle?
Use $$\pi$$ = $$\frac{22}{7}$$​

Which one of the following graphs represents the cumulative area under the plot shown?

What is the maximum number of tiles whose length and breadth are 10 cm and 8 cm respectively will be required to fit in a rectangular region whose length and breadth are respectively 352 cm and 100 cm?

A room is 750 cm long and 525 cm wide. Its floor is to be paved with square tiles. What is the least number of tiles required?

The radius of a 80 cm wide road roller is 77 cm. Find the number of revolutions that the roller will take to cover an area of 96.8 $$\text{m}^2$$​. [Takе π = $$\frac{22}{7}$$] 

In a right-angled triangle hypotenuse is 8√10 cm and based is half of the height. If height and based of the triangle are equal to height & radius of a cylinder, then find curved surface area of cylinder.

In a village, there is a pond that has the radius 14m. there is a fountain of diameter 14 m in the centre of the pond. Calculate the area of the pond excluding the fountain (Use $$\pi= \frac{22}{7}$$​)

A water tank is in the form of a cube of side 2 m. It has an inlet in the shape of a circle with radius 3.5 cm. How long will it take to fill the tank (approximately), if the water is flowing at a speed of 2 m/s ?