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Byju's Answer
Standard VII
Physics
Measurement of Volume
The radius of...
Question
The radius of a sphere made up of 64 small spheres of radius 'r' is
.
A
r
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B
2r
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C
3r
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D
4r
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Solution
The correct option is
D
4r
Let the radius of the large sphere be 'R'.
Volume of large sphere =
4
3
𝛑
R
3
Volume of 64 small spheres =
64
×
4
3
𝛑
r
3
∵
Volume of 64 small spheres = Volume of the large sphere
∴
64
×
4
3
𝛑
r
3
=
4
3
𝛑
R
3
⇒
64
×
r
3
=
R
3
⇒
4
r
=
R
∴
The radius of the sphere made up of 64 small spheres of radius 'r' is 4r.
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