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The ratio of the radit of two spheres whose volumes are in the ratio 64: 27 is |
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Answer» Given that, Volume of two sphere are in ratio=64:27 We know that , Volume of sphere= 4
πr 3
Then, Volumeofsphere(2) Volumeofsphere(1)
= 27 64
3 4
πr 2
3
3 4
πr 1
3
= 27 64
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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