metal cylinder of radius 7cm and height of 21cm is melted and recast into spheres of radius 3.5cm. Hiw maby spheres can be formed.
Answers
Answer:
WRONG
Radius of metallic sphere R=10.5 cm
Radius of circular base of smaller cone r=3.5 cm
Hight of cone h=3 cm
Volume of metallic sphere V=
3
4
πR
3
=
3
4
×
7
22
×(10.5)
3
cm
3
=
3
4
×
7
22
×1157.625 cm
3
=
21
88
×1157.625 cm
3
=88×55.125 cm
3
Volume of metallic sphere V=4851 cm
3
Volume of one cone v=
3
1
π r
2
h
=
3
1
×
7
22
×(3.5)
2
×3 cm
3
=
7
22
×12.25 cm
3
Volume of one cone=38.5 cm
3
Number of cones formed n=
Volume of one cone (v)
Volume of sphere(V)
n=
38.5 cm
3
4851 cm
3
n=126
Hence the solid sphere can be melted in 126 smaller cones
Step-by-step explanation: