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10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) ofthe bigger sphere?
A
24
B
12
C
8
D
6
Correct Answer:
6
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
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
In a bag the ratio of red balls to green balls is 4 : 9. If 6 more green balls were added to the bag, the ratio of red balls to green balls would become 1 : 3. How many red balls are there in the bag?
A
9
B
10
C
8
D
12
In a bag, the ratio of red balls to green balls is 4:9. If 7 more red balls are added to the bag, the ratio of red balls to green balls will become 5:6. How many green balls are there in the bag?
A
12
B
27
C
18
D
9
A cylindrical rod of iron, whose height is equal to its radius ,is melted and cast into spherical balls whose radius is half the radius of the rod. find the number of balls.
A
3
B
4
C
5
D
6
A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod . Find the number of balls.
A
2
B
3
C
4
D
6
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
A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what
percent of material is wasted?
A
48.5
B
37.5
C
57.8
D
64
A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percent of material is wasted this process?
A
25
B
5
C
0
D
10
A spherical lead ball of radius 6 cm is melted and small lead balls of radius 3 mm are made. The total number of possible small lead balls is
A
4250
B
4000
C
8005
D
8000