Volume and Surface Area problems
- 1. Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then the number of sides of each polygon are
Options- A. 10, 20
- B. 4, 8
- C. 3, 6
- D. 5, 10 Also asked in: Bank Exams
Correct Answer: 5, 10
- 2. A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are
Options- A. 6 cm and 12 cm
- B. 4 cm and 8 cm
- C. 3 cm and 6 cm
- D. 2 cm and 4 cm Also asked in: Bank Exams
Correct Answer: 3 cm and 6 cm
- 3. The whole surface area of a pyramid whose base is a regular polygon is 340 cm2 and area of its base is 100 cm2 . Area of each lateral face is 30 cm2. Then the number of lateral faces is
Options- A. 8
- B. 9
- C. 7
- D. 10 Also asked in: Bank Exams
Correct Answer: 8
- 4. Two chords AB and CD of a circle with centre O intersect at P. If ?APC = 40°. Then the value of ?AOC + ?BOD is
Options- A. 50°
- B. 60°
- C. 80°
- D. 120° Also asked in: Bank Exams
Correct Answer: 80°
- 5. The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. The ratio of their volumes is
Options- A. 27:20
- B. 20:27
- C. 4:9
- D. 9:4 Also asked in: Bank Exams
Correct Answer: 20:27
- 6. Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. The edge of the new cube formed is
Options- A. 12 cm
- B. 14 cm
- C. 16 cm
- D. 18 cm Also asked in: Bank Exams
Correct Answer: 12 cm
- 7. The radius of a wire is decreased to one-third. If volume remains the same, length will increase by
Options- A. 1.5 times
- B. 3 times
- C. 6 times
- D. 9 times Also asked in: Bank Exams
Correct Answer: 9 times
- 8. The height and the total surface area of a right circular cylinder are 4 cm and 8? sq.cm. respectively. The radius of the base of cylinder is
Options- A. (2?2 - 2) cm
- B. (2 - ?2) cm
- C. 2 cm
- D. ?2 cm Also asked in: Bank Exams
Correct Answer: (2?2 - 2) cm
- 9. The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : ?5 = 2.23 and ? = 22/7 ]
Options- A. 1.42 litres
- B. 1.53 litres
- C. 1.71 litres
- D. 1.82 litres Also asked in: Bank Exams
Correct Answer: 1.53 litres
- 10. A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is
Options- A. 3:1
- B. 1:3
- C. 7:3
- D. 3:7 Also asked in: Bank Exams
Correct Answer: 7:3
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