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- Question
A right circular cylinder has height as 18 cm and radius as 7 cm. The cylinder is cut in three equal parts (by 2 cuts parallel to base). What is the percentage increase in total surface area?
Options- A. 62
- B. 56
- C. 48
- D. 52
- Correct Answer
- 56
- 1. A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216?3 cm2, then what is the height (in cm) of prism?
Options- A. 3?3
- B. 6?3
- C. 6
- D. 3 Discuss
- 2. PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square?
Options- A. 8 ? 4?2
- B. 16 + 8?2
- C. 16?2 ? ?16
- D. 16 ? 8?2 Discuss
- 3. A cuboid has dimensions 8 cm x 10 cm x 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area?
Options- A. 286.2
- B. 314.32
- C. 250.64
- D. 386.5 Discuss
- 4. A solid sphere has a radius 21 cm. It is melted to form a cube. 20% material is wasted in this process. The cube is melted to form hemisphere. In this process 20% material is wasted. The hemisphere is melted to form two spheres of equal radius. 20% material was also wasted in this process. What is the radius (in cm) of each new sphere?
Options- A. 4.2 (23)
- B. 2.1 23
- C. 2.1 43
- D. 4.2 43 Discuss
- 5. A right circular cylinder is formed. A = sum of total surface area and the area of the two bases. B = the curved surface area of this cylinder. If A : B = 3 : 2 and the volume of cylinder is 4312 cm3, then what is the sum of area (in cm2) of the two bases of this cylinder?
Options- A. 154
- B. 308
- C. 462
- D. 616 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Volume and Surface Area problems
Search Results
Correct Answer: 3?3
Correct Answer: 16?2 ? ?16
Correct Answer: 386.5
Correct Answer: 2.1 23
Correct Answer: 308
Correct Answer: 7 : 10
Correct Answer: 33264
Correct Answer: 96 + 64?2
Correct Answer: 7
Correct Answer: 14.4
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