Volume of two sphere are in theratio 64:27 the ratio of their surface areas is
Answers
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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9th
Maths
Surface Areas and Volumes
Surface Area of Spheres
Volume of two sphere are in...
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Volume of two sphere are in the ratio 64:27. Find the ratio of their surface area.
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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.