Volume and Surface Area problems
- 1. A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?
Options- A. 5
- B. 6
- C. 15
- D. 7.5 Also asked in: Bank Exams
Correct Answer: 7.5
- 2. Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4?3) cm. What is the maximum volume (in cm3) of each sphere?
Options- A. 1077.31
- B. 905.14
- C. 966.07
- D. 1007.24 Also asked in: Bank Exams
Correct Answer: 905.14
- 3. Three toys are in a shape of cylinder, hemisphere and cone. The three toys have same base. Height of each toy is 2?2 cm. What is the ratio of the total surface areas of cylinder, hemisphere and cone respectively?
Options- A. 4 : 3 : [(?2) + 1]
- B. 4 : 3 : [2 + (?2)]
- C. 4 : 3 : 2?2
- D. 2 : 1 : (1 + ?2) Also asked in: Bank Exams
Correct Answer: 4 : 3 : [(?2) + 1]
- 4. A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?
Options- A. 150
- B. 200
- C. 300
- D. 250 Also asked in: Bank Exams
Correct Answer: 200
- 5. A regular square pyramid has side of its base 20 cm and height 45 cm is melted and recast into regular triangular pyramids of equilateral base of side 10 cm and height 10?3 cm. What are the total numbers of regular triangular pyramid?
Options- A. 24
- B. 20
- C. 27
- D. 28 Also asked in: Bank Exams
Correct Answer: 24
- 6. If a cylinder of radius 7 cm and height 9 cm is melted and constructed into a cone of the same radius, what will be the height of this cone?
Options- A. 54 cm
- B. 9 cm
- C. 27 cm
- D. 13.5 cm Also asked in: Bank Exams
Correct Answer: 27 cm
- 7. What is the measure of an interior angle of a regular dodecagon?
Options- A. 120°
- B. 140°
- C. 150°
- D. 144° Also asked in: Bank Exams
Correct Answer: 150°
- 8. Find the curved surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm.
Options- A. 968
- B. 924
- C. 856
- D. 1056 Also asked in: Bank Exams
Correct Answer: 1056
- 9. A cone of height 12 cm and diameter 10 cm is mounted on a hemisphere of the same diameter. What is the volume of the solid thus formed?
Options- A. 384.13 sq cm
- B. 576.19 sq cm
- C. 192.06 sq cm
- D. 288.1 sq cm Also asked in: Bank Exams
Correct Answer: 576.19 sq cm
- 10. At least two pairs of consecutive angles are congruent in a _____.
Options- A. Parallelogram
- B. Isosceles trapezium
- C. Rhombus
- D. Kite Also asked in: Bank Exams
Correct Answer: Isosceles trapezium
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