Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

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Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

Unit 14 Worksheet 6 || Mensuration

1. Find the volume of a right circular cylinder if

(i) radius of its base = 7 cm, height = 1.5 dm

Answer (i):

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(ii) area of base = 154 cm2, height = 1.5 cm

Answer (ii):

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

(iii) circumference of base = 1.32 m, height = 25 cm

Answer (iii):

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics
Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

2. How many cubic metres of earth must be dug out to sink a well 16 m in depth and 7 m in diameter?

Answer 2:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

3. A water tank is cylindrical in shape and the diameter of its base is 28 m. If it is 7 metres deep, how many kilolitres of water can it hold?

Answer 3:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

4. The radius of the base of a cylindrical oil can is 4 m. Find its height if it can contain 1,408 kilolitres of oil.

Answer 4:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

5. The radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550 cm3. Find its radius.

Answer 5:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics
Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

6. The thickness of a hollow metallic cylinder is 2 cm. It is 35 cm long and its inner radius is 12 cm. Find the volume of metal required to make the cylinder, assuming it is open, at either end.

Answer 6:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

7. A rectangular sheet of paper is rolled along its length to make a cylinder. The sheet is 33 cm long and 32 cm wide. A circular sheet of paper is attached to the bottom of the cylinder formed. Find the capacity of cylinder so formed.

Answer 7:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

8. Two solids of right cylindrical shape are 49 cm and 35 cm high and their base diameters are 16 cm, 14 cm respectively. Both are melted and moulded into a single cylinder, 56 cm high. Find its base diameter.

Answer 8:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics
Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

9. The volume of a metallic cylindrical pipe is 748 cm3. Its length is 14 cm and its external radius is 9 cm. Find its thickness.

Answer 9:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

10. The volume of a cylinder is 150π cu. cm and its height is 6 cm. Find the areas of its total surface and lateral (curved) surface.

Answer 10:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics

11. The Curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the diameter and the height of the pillar.

Answer 11:

Chapter 14 | Mensuration | Class-8 DAV Secondary Mathematics