Volume And Surface Area

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11 If the volume of a cube is 729 cu cm, what is the length of it's diagonal?

A
9a/2 cm
B
9V3 cm
C
18 cm
D
18V3 cm
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12 A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is :

A
2.5 cm
B
3 cm
C
3.5 cm
D
4 cm

13 The capacities of two hemispherical vessels are 6.4 litres and 21.6 litres. The areas of inner curved surfaces of the vessels will be in the ratio of :

A
$$\sqrt 2 $$ : $$\sqrt 3 $$
B
2 : 3
C
4 : 9
D
16 : 81

14 The base of a pyramid is an equilateral triangle of side 1 m. If the height of the pyramid is 4 metres, then the volume is :

A
0.550 m3
B
0.577 m3
C
0.678 m3
D
0.750 m3

15 Find the curved surface area (in cm2) of a right circular cylinder of diameter 14 cm and height 8 cm.

 

A
308
B
352
C
327
D
371

16 The volume of a cube is numerically equal to sum of it's edges. What is the total surface area in square unit's?

A
12
B
36
C
72
D
144

17 Three cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find half of the surface area of the new cube:

A
243 sq cm
B
463 sq cm
C
486 sq cm
D
293 sq cm

18 The capacity of a cuboid tank of water is 50000 L. Find the breadth of the tank, if it's length and depth are 2.5 m and 10 m, respectively:

A
2 m
B
4 m
C
9 m
D
6 m

19 A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m×12m×8m. The water of this tank will suffice for ____ days?

A
3
B
4
C
5
D
2

20 A hollow iron pipe is 21 cm long and it's external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is:

A
3.6 kg
B
3.696 kg
C
36 kg
D
36.9 kg