The ratio of the radit of two spheres whose volumes are in the ratio 64: 27 is
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Answered by
1
Answer:
Given that,
Volume of two sphere are in ratio=64:27
We know that ,
Volume of sphere=
3
4
πr
3
Then,
Volumeofsphere(2)
Volumeofsphere(1)
=
27
64
3
4
πr
2
3
3
4
πr
1
3
=
27
64
r
2
3
r
1
3
=
27
64
r
2
r
1
=
3
4
Then, Ratio of areas both spheres
areaofsphere(2)
areaofsphere(1)
=
4πr
2
2
4πr
1
2
=
r
2
2
r
1
2
=(
r
2
r
1
)
2
=(
3
4
)
2
=
9
16
Hence, this is the answer.
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0
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