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- Question
Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?
Options- A. 12
- B. 14
- C. 16
- D. 28
- Correct Answer
- 28
- 1. A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is
Options- A. 5?5 cm
- B. 5?3 cm
- C. 5?15 cm
- D. 5?10 cm Discuss
- 2. Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is
Options- A. 7 cm
- B. 9 cm
- C. 10 cm
- D. 8 cm Discuss
- 3. A point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its
Options- A. Centroid
- B. Incentre
- C. Orthocentre
- D. Circumcentre Discuss
- 4. G and AD are respectively the centroid and median of the triangle ?ABC.The ratio AG:AD is
Options- A. 3:2
- B. 2:3
- C. 3:1
- D. 1:2 Discuss
- 5. The length, breadth and height of a cuboid are in the ratio 19 : 11 : 13. If length is 30 cm more than height, then what is the volume (in cub.cm) of this cuboid?
Options- A. 81510
- B. 89665
- C. 195300
- D. 339625 Discuss
- 6. In triangle ABC, a line is drawn from the vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?
Options- A. 1 : 1
- B. 2 : 1
- C. 3 : 1
- D. 4 : 1 Discuss
- 7. PQR is a right angled triangle in which ?R = 90°. If RS ? PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?
Options- A. 12/5
- B. 36/5
- C. 5
- D. 2.5 Discuss
- 8. In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ?PBR =105°, then what is the value of ?PAR (in degrees)?
Options- A. 60
- B. 100
- C. 105
- D. 115 Discuss
- 9. If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?
Options- A. 0
- B. 5
- C. 4
- D. 7 Discuss
- 10. Three solid spheres have their radii r1, r2 and r3. The spheres are melted to form a solid sphere of bigger radius. Then the radius of the new sphere is
Options- A. r1+r2+r3
- B. r12+r22+r3212
- C. r13+r23+r3313
- D. r14+r24+r3414 Discuss
Volume and Surface Area problems
Search Results
Correct Answer: 5?15 cm
Correct Answer: 8 cm
Correct Answer: Circumcentre
Correct Answer: 2:3
Correct Answer: 339625
Correct Answer: 2 : 1
Correct Answer: 12/5
Correct Answer: 60
Correct Answer: 7
Correct Answer: r13+r23+r3313
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