Chapter 14

Mensuration

1. The total surface area of a closed right circular cylinder is 65/2cm² and the circumference of its base is 88cm. Find the volume of the cylinder.
    
2. The height of a cylinder is 15cm and its curved surface area is 660 sq.cm. Find its radius.
    
3. A cylindrical tank has a capacity of 6160 cu.cm. Find its depth if the diameter of its base is 28m. Also, Find the area of the inside curved surface of the tank.
    
4. The volume of a right circular cylinder is 1100 cu.cm and the radius of its base is 5cm. Find its curved surface area.
    
5. If the radius of the base of a right circular cylinder is halved, keeping the height same, find the ratio of the volume of the reduced cylinder to that of the original cylinder.
    
6. 50 circular plates, each of radius 7cm and thickness 0.5cm are placed one above the other to form a solid right circular cylinder. Find the total surface area and volume of the cylinder so formed.
    
7. A well of diameter 3m is dug 14m deep. The earth taken out of it has been spread evenly all around it to a width of 4m to form an embankment. Find the height of the embankment formed.