How many Balls, Each of radius 1 cm can be made from a solid sphere of lead of radius 8cm ?
Answers
Answered by
2
Step-by-step explanation:
Volume of the spherical ball of radius 8 cm
=
3
4
π×8
3
cm
3
Also, volume of each smaller spherical ball of radius 1 cm
=
3
4
π×1
3
cm
3
Let n be the number of smaller balls that can be made. Then, the volume of the larger ball is equal to the sum of all the volumes of n smaller balls.
Hence,
3
4
π×n=
3
4
π×8
3
⇒n=8
3
=512
Hence, the required number of balls =512.
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Answered by
1
Answer:
512
Step-by-step explanation:
volume of initial sphere =4/3*πr³
=4/3*512π
volume of balls =4/3*πr³
=4/3*1π
no. of balls = 4/3*512π/4/3*1π
=512 balls
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