A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?

Related Mcqs:

1. The length of the wire of 0.2mm radius that can be drawn after melting a solid copper sphere of diameter 18cm?

   A. 24.3 m
   B. 243 m
   C. 2430 m
   D. 24300 m

2. A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?

   A. 60 cm2
   B. 30 cm2
   C. 45 cm2
   D. 15 cm2

3. The length of a rectangle is two – fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?

   A. 140
   B. 156
   C. 175
   D. 214

4. Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of _________?the new sphere will be

   A. 4920 cm2
   B. 4727 cm2
   C. 9856 cm2
   D. 19712 cm2

5. 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

6. How many shots of 1cm radius can be prepared from a sphere of 3cm radius?

   A. 36
   B. 64
   C. 27
   D. 16

7. An order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. What be the cost of a carpet whose length and breadth are 40% more and 25% more respectively than the first carpet. Given that the ratio of carpet is Rs. 45 per sq m?

   A. Rs. 3642.40
   B. Rs. 3868.80
   C. Rs. 4216.20
   D. Rs. 4082.40

8. 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

9. A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ration of 6:5 The smaller side if the rectangle is:_________?

   A. 30 cm
   B. 60 cm
   C. 72 cm
   D. 132 cm

10. There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?

    A. 12 π cm
    B. 16 π cm
    C. 24 π cm
    D. 32 π cm