Assignment_Ch14
01. Total surface area of a cube open at one end =………..
(A) 5l2
(B) l3
(C) 6l2
(D) 4l2
02. Total surface area of a closed cube =……………
(A) l3
(B) 5l2
(C) 6l2
(D) 4l2
03. The area of the base of a cylinder =…………
(A) 2r
(B) r2
(C) r
(D) 2r2
04. Curved surface area of a cylinder = ………….
(A) 2r2h
(B) 2rh
(C) 2r
(D) r2
05. Total surface area of a cylinder = …………
(A) 2r(r + h)
(B) r2(r + h)
(C) r(r + h)
(D) 2rh
06. Curved surface area of a cone =……………
(A) 2r
(B) r2
(C) 2r2
(D) rl
07. Total surface area of cone = …………
(A) r2 + 2r
(B) rl + 2r2
(C) 2r2 + rh
(D) r(l + r)
08. Surface area of a sphere = ……………
(A) r2h
(B) 3r2
(C) 2r2
(D) 4r2
09. Curved surface area of a hemisphere = …………
(A) 3r2
(B) 4r2
(C) r2
(D) 2r2
10. For a cone, l = …………
(A) h2 - r2
(B)
h2  r2
(C)
h2  r2
(D) h2 + r2
11. The base of a cone is in the shape of a ………….
(A) square
(B) rectangle
(C) circle
(D) rhombus
12. The volume of a sphere = …………..
(A) 4r2
(B) r2h
2 3
πr
(C) 3
4 3
πr
(D) 3
13. The volume of a hemisphere = …………
4 3
2 3
πr
πr
2
2
(A) 2r h
(B) 3
(C) 4r
(D) 3
14. The volume of a 1-rupee coin is given by the formula………….
4
1
V  πr 3
V  πr2 h
2
3
3
(A)
(B) V = r h
(C)
(D) V = r2
15. Total surface area of a cone exceeds its curved surface area by = …………..
(A) 2r2
(B) 2r
(C) r2
(D) rl
16. CSA of a 1 - rupee coin is given by the formula………..
(A) A = 4r
2
(B) A = 2r
2
(C)
A
4 3
πr
3
(D) A = 2rh
17. Volume of a frustum of a cone = ………….
1
2
2
πh[r1  r2  r1 .r 2 ]
(A) 3
(B) h[r12 + r22 + r1.r2]
+ r2 + r1.r2]
18. CSA of a frustum of a cone = …………..
(A) l(r12 - r22)
(B) (r1 + r2)
(C) l(r1 + r2)
19. TSA of a frustum of a cone = …………
(A) l(r1 + r2) + r12 + r22
(B) (r1 + r2) + r12 + r2 2
(D) l(r1 + r2) + r1 + r2
1
h[r1  r2  r1.r2 ]
(C) 3
(D) h[r1
(D) l(r12 + r22)
(C) l(r1 + r2) + r12 + r22
20. TSA of a 5 - rupee coin is given by the formula =…………..
(A) A = 2r(r + h)
(B) A = 2h(r + h)
(C) A = 2rh
(D) A = 2(r + h)
21. 1 litre = ………… cm3
(A) 10
(B) 1000
(C) 10,000
(D) 100
22. 1 m3 = ………… litres.
(A) 1000
(B) 10,000
(C) 10
(D) 100
23. 1 m3 = ………… kilolitre/s.
(A) 1
(B) 1000
(C) 100
(D) 10
24. The radius of the base of a cylinder is 7 cm. Then, the area of its base is
……………cm2.
(A) 44
(B) 77
(C) 308
(D) 154
25. The radius and height of a cylinder are 1.4 cm and 10 cm respectively. Then, its curved
surface area is ……… cm2.
(A) 44
(B) 22
(C) 176
(D) 88
26. The CSA and the volume of a cylinder are numerically equal. Then, its radius is ……….
units.
(A) 4
(B) 2
(C) 8
(D) 7
27. The area of the base of a cylinder is 616cm2. Then, the radius of the base of the cylinder
is ……….cm.
(A) 7
(B) 21
(C) 1.4
(D) 14
28. The slant height of a cone with radius 6 cm and height 8 cm is …..cm.
(A) 10
(B) 7
(C) 4
(D) 12
29. The CSA of a cone with radius 4 cm and slant height 6 cm is………….cm2.
(A) 10 
(B) 96 
(C) 24 
(D) 12 
30. The CSA of a cone with radius 7 cm and slant height 15 cm is………….cm2.
(A) 330
(B) 157
(C) 314
(D) 165
31. The CSA of a cone with radius 4 cm and slant height 3 cm is………….cm2.
(A) 18 
(B) 9 
(C) 36 
(D) 27 
32. The radius and height of a cone are 5 cm and 12 cm respectively. Then, the ratio of its
CSA and area of base is……….
(A) 13 : 5
(B) 13 : 12
(C) 5 : 13
(D) 12 : 13
33. The surface area of a sphere with radius 7 cm is = ……….cm2.
(A) 154
(B) 616
(C) 308
(D) 314
34. CSA of a hemisphere with diameter 20 cm is …………. cm2.
(A) 200 
(B) 20 
(C) 100 
(D) 40 
35. TSA of a hemisphere with radius 10 cm is …………. cm2.
(A) 150 
(B) 60 
(C) 30 
(D) 300 
36. TSA of a hemisphere with diameter 10 cm is …………. cm2.
(A) 75 
(B) 150 
(C) 25 
(D) 15 
37. The area of the circular base of a hemisphere is 154 cm2. Then, its total surface area is
….cm2.
(A) 77
(B) 462
(C) 154
(D) 308
38. The ratio of radius of two spheres is 3 : 2. Then , the ratio of their surface areas
is……….
(A) 9 : 4
(B) 3 : 2
(C) 4 : 9
(D) 2 : 3
39. A sphere and a solid hemisphere have equal radii. Then, the ratio of the surface area of
the sphere and TSA of the hemisphere is………….
(A) 4 : 3
(B) 2 : 1
(C) 3 : 1
(D) 1 : 2
40. The diameter of a cylinder is 14 cm and its height is 10 cm. Then, the volume of the
cylinder is ………. cm3
(A) 314
(B) 154
(C) 1540
(D) 57
41. The area of the base of a cylinder is 20 cm2 and its height is 5 cm. Then, its volume is
………. cm3
(A) 25
(B) 100
(C) 205
(D) 50
42. The volume of a cylinder is 20 cm2 and its height is 5 cm. Then, the diameter of the
cylinder is……….cm.
(A) 4
(B) 16
(C) 2
(D) 8
43. The volume of a cylinder is 550 cm3 and its height is 5 cm. Then, the diameter of the
cylinder is……….cm.
(A) 7
(B) 5
(C) 11
(D) 10
44. The volume of a cone with radius 5 cm and height 21 cm is……….cm3.
(A) 105
(B) 110
(C) 550
(D) 340
45. The area of the base of a cone is 60 cm2 and its height is 15 cm. Then, the volume of the
cone is…………cm3.
(A) 300
(B) 450
(C) 150
(D) 900
46. A cone and a cylinder have equal radii and equal heights. Then, the ratio of their
volumes is……….
(A) 2 : 3
(B) 3 : 1
(C) 1 : 3
(D) 1 : 2
47. The radii and heights of a cylinder and a cone are equal. Then, the volume of the
cylinder = …….. the volume of the cone.
(A) 2
(B) 3
1
(C) 3
(D) 1
48. The radius and height of a cone are both 3 cm. Then, its volume is……………cm3.
(A) 3 
(B) 12 
(C) 6 
(D) 9 
49. The ratio of radii of two spheres is 2 : 3. Then, the ratio of their volumes is ………….. .
(A) 16 : 81
(B) 8 : 27
(C) 2 : 3
(D) 4 : 9
50. CSA of a cylindrical tank with diameter 2.1 m and height 5 m is ……….m2.
(A) 66
(B) 22
(C) 44
(D) 33
51. The capacity of a cylindrical tank with radius 1.4 m and height 4 m is…………….
(A) 24,640
(B) 26,640
(C) 12,320
(D) 26,440
52. CSA of a conical tank with height 3 m and diameter 8 m is………… m2. ( = 3.14.)
(A) 125.6
(B) 62.8
(C) 31.4
(D) 24
763 2
m
53. The radius of a sphere with surface area 3
is ……….. m. ( = 3.14.)
(A) 4.5
(B) 3
(C) 9
(D) 2.25
54. The volume of a cone with radius 6 cm and height 21 cm is……… cm3.
(A) 792
(B) 314
(C) 88
(D) 44
55. The volume of a cone is 9504 cm3 and its radius is 18 cm. Then, its height I ………..cm.
(A) 35
(B) 7
(C) 28
(D) 14
56. The radius of a sphere with surface area 1256 cm2 is ………… cm. ( = 3.14)
(A) 5
(B) 22
(C) 20
(D) 10
57. The radii of a frustum of a cone are 10 cm and 7 cm. If its height is 4 cm. Then, its
curved surface area is………..cm2.
(A) 17 
(B) 68 
(C) 51 
(D) 85 
58. A drinking glass in the shape of a frustum of a cone has radii 3 cm and 2 cm. If its height
is 21. cm, its capacity is…………..cm3.
(A) 858
(B) 286
(C) 418
(D) 836
59. The ratio of radii of two cylinders is 3 : 4 and the ratio of their heights is 4 : 5. Then, the
ratio of their volumes is…………
(A) 9 : 20
(B) 5 : 12
(C) 3 : 5
(D) 12 : 5
60. The volume of a sphere with radius 1.5 cm is ……….cm3.
(A) 3 
(B) 6 
(C) 4.5 
(D) 1.5 
61. If the radius of a sphere with radius 1.5 cm is ………… cm3.
1
(A) 2
(B) 8
1
(C) 2
(D) 8
62. The diameter of a hemisphere with TSA 462 cm2 is ………. cm.
(A) 28
(B) 14
(C) 7
(D) 21
63. The volume of a cone = ………..
4 3
πr
(A) 3
1 3
πr
(C) 3
2
(B) π r h
1 2
πr h
(D) 3
64. The ratio of radii of two spheres is 3 : 4. Then, the ratio of their volume is ………… .
(A) 27 : 64
(B) 64 : 27
(C) 16 : 9
(D) 9 : 16
65. The volume of a sphere is 4.5 cm3. Then, its diameter is…………. cm.
(A) 3
(B) 6
(C) 1.5
(D) 4.5
66. The volume of sphere with diameter 1 cm is ......... cm3.
1

(A) 6
2

(B) 3
4

(C) 3
1

(D) 24
67. The volume of hemisphere with radius 1.2 cm is ................. cm3.
(A) 3.456 
(B) 1.152 
(C) 0.96 
(D) 2.152 
4
 cm3 .
3
68. The volume of sphere is
Then, its diameter is ......... cm.
(A) 2
(B) 1
(C) 0.5
(D) 2.5
69. The volume of cone with radius 2 cm and height 6 cm is .......... cm3.
(A) 16 
(B) 12 
(C) 8 
(D) 14 
70. The diameter of the base of cone is 10 cm and its slant height is 17 cm. Then the curved
surface area of the cone is ........ cm2.
(A) 95 
(B) 85 
(C) 88 
(D) 170 
71. The diameter and the height of the cylinder are 14cm and 10 cm respectively. Then the
total surface area is ...... cm2.
(A) 748
(B) 44
(C) 1010
(D) 308
72. The ratio of the radii of two cones having equal height is 2 : 3. Then, the ratio of their
volumes is ........
(A) 8 : 27
(B) 4 : 9
(C) 3 : 2
(D) 4 : 6
73. If the radii of a frustum of a cone are 7 cm and 3 cm and the height is 3 cm, then the
curved surface area is ....... cm2.
(A) 35 
(B) 50 
(C) 25 
(D) 63 
74. The radii of a frustum of a cone are 5 cm and 9 cm and height is 6 cm, then the volume
is ............ cm3.
(A) 98 
(B) 320 
(C) 302 
(D) 151 
75. CSA of a cylinder = ………….
(A) 2rh
(B) r2h
(C) 4r2
(D) 2r (r + h)
76. CSA of a hemisphere = ……….
(A) r2
(B) 2r2
(C) 3r2
(D) 4r2
77. Volume of a cone = ………..
(A) r h
2
2 3
r
(B) 3
4 3
r
(C) 3
1 2
r h
(D) 3
78. Surface area of a sphere = ………
4 3
r
(A) 3
2 3
r
(B) 3
(C) 4r2
(D) 2r2
79. CSA of a cone = …………
(A)
1 2
r h
3
(B) r (r + l)
(C) r2h
(D) rl
80. Volume of a hemisphere = ……..
2 3
r
(A) 3
4 3
r
(B) 3
(C) 2r2
(D) 23r2
81. TSA of a hemisphere = ……….
(A) r2
(B) 2r2
(C) 3r2
(D) 4r2
82. Volume of a sphere = ……….
2 3
r
(A) 3
(B) 4r
2
(C) 3r
3
4 3
r
(D) 3
83. TSA of a cylinder = ……….
(A) r (r + l)
4 3
r
(B) 3
(C) 2r (r + h)
84. Volume of a cylinder = ………
(A) 2rh
(B) r (r + l)
(C) 2r (r + h)
(D) 2rh
(D) r2h
85. TSA of a cone = ……….
(A) 2r (r + h)
1 2
r h
(B) 3
(C) 4r2
(D) r (r + l)
86. The volume of a sphere with diameter 10 cm is …….. cm3.
(A) 123 
500

(B) 3
250

(C) 3
125

(D) 3
87. The formula to find the total surface area of a 5-rupee coin is A = ………
(A) 2r2 (h + r)
(B) r2h
(C) r (r + h)
(D) 2r (r + h)
88. The volume of a sphere with radius 1.5 cm is ……….. cm3.
(A) 4
(B) 5.5
(C) 5
(D) 4.5
89. The ratio of radii of two sphere is 3 : 5. Then, the ratio of their surface areas is …………
(A) 25 : 125
(B) 25 : 9
(C) 125 : 27
(D) 9 : 25
90. The radii of a frustum of a cone are 10 cm and 7 cm. If its height is 4 cm, its curved
surface area is ………. Cm2.
(A) 17
(B) 68
(C) 85
(D) 51r
91. The radii of a frustum of a cone are 6 cm and 4 cm. If its height is 9 cm, its volume is
………. Cm3.
(A) 76
(B) 228
(C) 156r
(D) 684
92. The volume of a cylinder is 550 cm3 and its radius is 5 cm. Then, its height is ……….
cm.
(A) 5
(B) 7
(C) 14
(D) 9
93. The volume of a cone with radius 5 cm and height 12 cm is ………… cm3.
(A) 300
(B) 100
(C) 200r
(D) 400
94. The ratio of diameter of two cones is 2 : 3 and the ratio of their heights is 9 : 4. Then, the
ratio of their volumes is ………
(A) 3 : 2
(B) 27 : 8
(C) 4 : 9
(D) 1 : 1
95. If the radius of a sphere is doubled, its volume becomes ……….. times the volume of
the original sphere.
(A) two
(B) four
(C) sixteen
(D) eight
96. The curved surface area of a cone with radius 12 cm and slant height 20 cm is ……….
cm2.
(A) 120r
(B) 80
(C) 60
(D) 240
97. The volume of a cylinder with radius and height both 5 cm is ………. cm3.
(A) 5
(B) 125r
(C) 25
(D) 625
98. The volume of a hemisphere with radius 3 cm is ………… cm3.
(A) 21
(B) 24
(C) 14
(D) 18r
99. The ratio of diameter of two cylinders is 3 : 4 and the ratio of their heights is 4 : 5. Then,
the ratio of their volumes is …………
(A) 5 : 12
(B) 9 : 20
(C) 12 : 5
(D) 3 : 5
Answers:
01 : A B C D  02 : A B C D  03 : A B
C

04 : A
C

07 : A
C

10 : A
C

13 : A
C

16 : A
C

19 : A
C

22 : A
C

25 : A
C

28 : A
C

31 : A
C

34 : A
C

37 : A
C

40 : A
C

43 : A
C

46 : A
C

49 : A
D 
B C D  05 : A B C D  06 : A B
D 
B C D  08 : A B C D  09 : A B
D 
B C D  11 : A B C D  12 : A B
D 
B C D  14 : A B C D  15 : A B
D 
B C D  17 : A B C D  18 : A B
D 
B C D  20 : A B C D  21 : A B
D 
B C D  23 : A B C D  24 : A B
D 
B C D  26 : A B C D  27 : A B
D 
B C D  29 : A B C D  30 : A B
D 
B C D  32 : A B C D  33 : A B
D 
B C D  35 : A B C D  36 : A B
D 
B C D  38 : A B C D  39 : A B
D 
B C D  41 : A B C D  42 : A B
D 
B C D  44 : A B C D  45 : A B
D 
B C D  47 : A B C D  48 : A B
D 
B C D  50 : A B C D  51 : A B
C

52 : A
C

55 : A
C

58 : A
C

61 : A
C

64 : A
C

67 : A
C

70 : A
C

73 : A
C

76 : A
C

79 : A
C

82 : A
C

85 : A
C

88 : A
C

91 : A
C

94 : A
C

97 : A
C
D 
B C D  53 : A B C D  54 : A B
D 
B C D  56 : A B C D  57 : A B
D 
B C D  59 : A B C D  60 : A B
D 
B C D  62 : A B C D  63 : A B
D 
B C D  65 : A B C D  66 : A B
D 
B C D  68 : A B C D  69 : A B
D 
B C D  71 : A B C D  72 : A B
D 
B C D  74 : A B C D  75 : A B
D 
B C D  77 : A B C D  78 : A B
D 
B C D  80 : A B C D  81 : A B
D 
B C D  83 : A B C D  84 : A B
D 
B C D  86 : A B C D  87 : A B
D 
B C D  89 : A B C D  90 : A B
D 
B C D  92 : A B C D  93 : A B
D 
B C D  95 : A B C D  96 : A B
D 
B C D  98 : A B C D  99 : A B
D 