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Thousand solid metallic spheres of diameter 6 cm are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is
A
30
B
90
C
45
D
60
Correct Answer:
60
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 thisprocess 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?
A
4.2\(23)
B
2.1\23
C
2.1\43
D
4.2\43
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 is1/6ththe radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?
A
31276
B
36194
C
25182
D
33264
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
A
r1+r2+r3
B
r12+r22+r3212
C
r13+r23+r3313
D
r14+r24+r3414
If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to from a single sphere, the diameter of the new sphere will be :
A
12 cm
B
24 cm
C
30 cm
D
36 cm
If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, then the diameter of the new sphere will be :
A
12 cm
B
24 cm
C
30 cm
D
36 cm
The radius of the base and height of a metallic solid cylinder are r cm and 6 cm respectively. It is melted and recast into a solid cone of the same radius of base. The height of the cone is :
A
9 cm
B
18 cm
C
27 cm
D
54 cm
A metallic cone of radius 12 cm and height 24 cm is ,melted and made into spheres of radius 2 cm each. How many spheres are there ?
A
108
B
120
C
144
D
180
A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical ball. The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is :
A
2.5 cm
B
2.66 cm
C
3 cm
D
3.5 cm
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 surfacearea?
A
12
B
14
C
16
D
28
A smaller sphere has potential 50V and a larger sphere has potential 100V. How should they be placed so that if they are connected with the help of a wire, the charge will flow from the smaller sphere to the larger sphere? Both the spheres are conducting and hollow.
A
Concentrically
B
Touching each other
C
It is never possible
D
The smaller sphere should be grounded