CBSE Book Class 10 Maths Mensuration

Chapter 14

Mensuration

Surface Area and Volume

Conversion of one solid into another solid

Some time we have to melt one solid and convert it to another shap.

For example we have to convert a metallic sphere to wire in the form of cylinder. The earth taken out from a well and is spreed around to make embankment of the form of cylindrical shell.

Exercise

1. The volume of a vessel in the form of a right circular cylinder is and its height is 7cm. Find the radius of its base.

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.

8. The base radii of tow right circular cones of the same height are in the ratio 3 : 5. Find the ratio of their volume.

9. The circumference of the base of a 16 m high solid cone is 3m. Find the volume of the cone.

Please refer to attached file for CBSE Class 10 Maths Mensuration