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- Question
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
- Correct Answer
- 3.75
- 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 Discuss
- 2. A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere?
Options- A. 493
- B. 7
- C. 14
- D. 983 Discuss
- 3. A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in cm2) of each part?
Options- A. 96 + 64?2
- B. 80 + 64?2
- C. 96 + 48?2
- D. 80 + 48?2 Discuss
- 4. The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?
Options- A. 31276
- B. 36194
- C. 25182
- D. 33264 Discuss
- 5. The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?
Options- A. 5 : 8
- B. 4 : 9
- C. 3 : 7
- D. 7 : 10 Discuss
- 6. 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 Discuss
- 7. 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% Discuss
- 8. 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 Discuss
- 9. 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 Discuss
- 10. 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 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 14.4
Correct Answer: 7
Correct Answer: 96 + 64?2
Correct Answer: 33264
Correct Answer: 7 : 10
Correct Answer: 45
Correct Answer: 66.66%
Correct Answer: 49
Correct Answer: 62370
Correct Answer: 30420
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