Page 186 - Maths Skills - 8

184 Maths

Exercise 11.4

1. The curved surface area of a 10 m high cylinder is 440 m . Find the volume of the cylinder.
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2. A rectangular vessel of dimensions 20 cm by 15 cm by 11 cm is full of water. If the water is poured into
an empty cylindrical vessel of radius 10 cm, find the height of water in the cylindrical vessel.
3. Find the volumes, the curved surface areas and the total surface areas of the cylinders having dimensions:
(i) r = 5 cm, h = 21 cm (ii) r = 8.5 cm, h = 35 cm (iii) r = 12 cm, h = 4 cm

4. The volume of a 5 cm long cylindrical iron rod is 6930 cm . Find its diameter.
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5. The circumference of a base of a cylinder is 176 cm and its height is 60 cm, find the volume of the
cylinder.
6. A cylindrical tank has a capacity 9240 cm . If its depth is 15 cm, then find its diameter.
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7. A rectangular piece of paper of dimensions 88 cm by 5 cm is rolled along the length to form a cylinder.
Find the volume of the cylinder formed.

8. The curved surface area of a 14 m high cylinder is 352 m . Find the volume of the cylinder.
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9. A 21 cm long cylindrical iron pipe has exterior diameter 8 cm. If the thickness of the pipe is 1 cm and
iron weighs 8 g/cm , then find the weight of the pipe.
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10. Find the volume of the cylinder which is formed by rolling a rectangular sheet of dimensions
44 cm × 12 cm along its length.
11. A cylindrical tank has a capacity of 1131.90 m . Find the circumference of the base of a cylinder if its
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height is 15 m.
12. The diameter of a pipe of length 20 m is 56 cm. Find the cost of painting the surface of the pipe at the
rate of ` 12 per m .
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13. Find the amount of water in the cylindrical vessel of length 21 m and radius 3.5 m.

ASSESSMENT TIME

3. The height (h) of a parallelogram with base ‘b’
COMPETENCY BASED QUESTIONS
and area A is:
A. Multiple-Choice Questions b
(i) (ii) A × b
1. 1 hectare is equal to: A
(i) 10000 m (ii) 100 cm 2 (iii) A (iv) none of these
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b
(iii) 1000 cm (iv) 1000000 cm 2 4. The magnitude of the region enclosed by a plane
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2. The area of an equilateral triangle with each side figure is called its:
‘a’ units is: (i) length (ii) perimeter
(i) 1 a 2 (ii) 3a (iii) area (iv) volume
3 4

3a 2 1 5. Area of a rhombus is:
(iii) (iv) a 2 (i) base × altitude (ii) 1 × d × d
4 2 2 1 2
(iii) length × width (iv) none of these