The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 ½ cm and 2 cm respectively. The diameter of third ball is?

Related Mcqs:

1. A bag contains nine yellow balls, three white balls and four red balls. In how many ways can two balls be drawn from the bag?

   A. ⁹C₂
   B. ³C₂
   C. ¹⁶C₂
   D. ¹²C₂

2. There are two identical red, two identical black, and two identical white balls.In how many different ways can the balls be placed in the cells (Each cell to contain one ball) shown above such that balls of the same colour do not occupy any two consecutive cells?

   A. 15
   B. 18
   C. 24
   D. 30

3. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:________?

   A. Rs. 45
   B. Rs. 50
   C. Rs. 55
   D. Rs. 60

4. If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm²) is________?

   A. 100π
   B. 7π
   C. 60π
   D. 50π

5. Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?

   A. 21 cm
   B. 19 cm
   C. 32 cm
   D. 18 cm

6. A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.

   A. 8/15
   B. 2/5
   C. 3/5
   D. 7/15

7. A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?

   A. 4/9
   B. 5/9
   C. 7/9
   D. 8/9

8. Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?

   A. 90 min
   B. 100 min
   C. 110 min
   D. 120 min

9. The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?

   A. 3 dm
   B. 4 dm
   C. 5 dm
   D. 6 dm

10. A metal sheet 27 cm long 8cm broad and 1 cm thick is melted into a cube. The difference between the surface areas of two solids is__________?

    A. 284 cm²
    B. 286 cm²
    C. 296 cm²
    D. 300 cm²