Volume and Surface Area problems
- 1. Two circles are having radii 9 cm and 12 cm. The distance between their centres is 15 cm. What is the length (in cm) of their common chord?
Options- A. 6.8
- B. 13.6
- C. 7.2
- D. 14.4 Also asked in: Bank Exams
Correct Answer: 14.4
- 2. Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?
Options- A. 3.5
- B. 3.75
- C. 4.25
- D. 4.45 Also asked in: Bank Exams
Correct Answer: 3.75
- 3. There are 8 equidistant points A, B, C, D, E, F, G and H (in same order) on a circle. What is the value of ?FDH (in degrees)?
Options- A. 22.5
- B. 45
- C. 30
- D. 42.5 Also asked in: Bank Exams
Correct Answer: 45
- 4. An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?
Options- A. 66.66%
- B. 33.33%
- C. 83.33%
- D. 56.41% Also asked in: Bank Exams
Correct Answer: 66.66%
- 5. The sum of radii of the two circles is 91 cm and the difference between their area is 2002 cm2 . What is the radius (in cm) of the larger circle?
Options- A. 56
- B. 42
- C. 63
- D. 49 Also asked in: Bank Exams
Correct Answer: 49
- 6. The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?
Options- A. 34650
- B. 61600
- C. 36960
- D. 62370 Also asked in: Bank Exams
Correct Answer: 62370
- 7. Identical cubes of largest possible size are cut from a solid cuboid of size 65 cm × 26 cm × 3.9 cm. What is the total surface area (in cm2) of all the small cubes taken together?
Options- A. 30420
- B. 15210
- C. 20280
- D. 16440 Also asked in: Bank Exams
Correct Answer: 30420
- 8. A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisects the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 :V2 : V3?
Options- A. 1 : 8 : 27
- B. 1 : 8 : 19
- C. 2 : 9 : 27
- D. 1 : 7 : 19 Also asked in: Bank Exams
Correct Answer: 1 : 7 : 19
- 9. The length, breadth and height of a cuboid are 12 cm, 8 cm and 6 cm respectively. The volume of the cuboid is (Use ? = 22/7)
Options- A. 1152 cubic cms
- B. 288 cubic cms
- C. 576 cubic cms
- D. 864 cubic cms Also asked in: Bank Exams
Correct Answer: 576 cubic cms
- 10. A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is the total surface area (in cm2) of the prism?
Options- A. 54(3 + ?3)
- B. 36(3 + ?3)
- C. 48(4 + ?3)
- D. 24(4 + ?3) Also asked in: Bank Exams
Correct Answer: 48(4 + ?3)
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