If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each of ball is
Answers
Answered by
0
Answer:
100 pi
Step-by-step explanation:
Volume of solid sphere =
3
4
πR
3
=
3
4
×
7
22
×10×10×10=
21
88000
cm
3
∴ Volume of spherical balls =
21
88000
cm
3
Volume of 1 spherical ball =
21
11000
cm
3
⇒
3
4
πr
3
=
21
11000
⇒r
3
=
21×4×22
11000×3×7
=125
⇒r=
3
125
=5cm
∴ Surface area of each ball =4πr
2
=4×25×π=100π
Answered by
5
Answer:
100π
Step-by-step explanation:
volume of initial sphere=8×volume of one final spherical ball
4/3πR³=8×4/3πr³
R³/8=r³
we know R =10,then
1000/8=r³
10/2=r
5=r
surface area of each ball=4πr²
=4π5²
=100π
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