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

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## 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

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

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

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

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?

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.

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

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.

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.

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.