Question

iv) If the ratio of curved surface areas of two solid spheres is 25: 16, the ratio of their volumes is-- (a) 64:27 (b) 125 : 64 (c) 27: 64 (d) 3:4​

Answer 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

Answer 2

"c" Is the correct answer