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- Question
Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sphere of largest radius is put inside the cone. What is the ratio of radius of base of cone to the radius of sphere?
Options- A. 5 : 3
- B. 4 : 1
- C. 2 : 1
- D. 7 : 3
- Correct Answer
- 5 : 3
- 1. A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?
Options- A. 1 : 8 : 27
- B. 1 : 7 : 19
- C. 1 : 8 : 20
- D. no answer Discuss
- 2. In a Rhombus ABCD, measure of angle CAB is 30°, what is the measure of angle ABC?
Options- A. 60°
- B. 120°
- C. 90°
- D. 150° Discuss
- 3. The diagonals are not perpendicular in a _____.
Options- A. Parallelogram
- B. Kite
- C. Rhombus
- D. Square Discuss
- 4. Total surface area of a cube is 486 sq cm, find sum of length of all its edges?
Options- A. 216 cms
- B. 108 cms
- C. 54 cms
- D. 162 cms Discuss
- 5. In which of the following quadrilaterals only one pair of opposite angles is supplementary?
Options- A. Isosceles Trapezium
- B. Parallelogram
- C. Cyclic quadrilateral
- D. Rectangle Discuss
- 6. The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 cm2, then what is the volume (in cm3) of cylinder?
Options- A. 247200
- B. 269500
- C. 312500
- D. 341800 Discuss
- 7. 10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) of the bigger sphere?
Options- A. 24
- B. 12
- C. 8
- D. 6 Discuss
- 8. The radius of base of a solid cylinder is 7 cm and its height is 21 cm. It is melted and converted into small bullets. Each bullet is of same size. Each bullet consisted of two parts viz. a cylinder and a hemisphere on one of its base. The total height of bullet is 3.5 cm and radius of base is 2.1 cm. Approximately how many complete bullets can be obtained?
Options- A. 83
- B. 89
- C. 74
- D. 79 Discuss
- 9. A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?
Options- A. 11750
- B. 14100
- C. 18800
- D. 23500 Discuss
- 10. I. Tanya is older than Eric. II. Cliff is older than Tanya. III.Eric is older than Cliff. If the first two statements are true, the third statement is
Options- A. true
- B. false
- C. uncertain
- D. none Discuss
Volume and Surface Area problems
Search Results
Correct Answer: no answer
Correct Answer: 120°
Correct Answer: Parallelogram
Correct Answer: 108 cms
Correct Answer: Cyclic quadrilateral
Correct Answer: 269500
Correct Answer: 6
Correct Answer: 83
Correct Answer: 18800
Correct Answer: false
Explanation:
Because the first two statements are true, Eric is the youngest of the three, so the third statement must be false
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