please tell me who are intelligent in math please answer this
69. The ratio of the volumes of two
spheres is 8:27. The ratio between
their surface areas is *
O 1)2:3
2) 4:27
)
O 3) 8:9
O 4)4:9b
Answers
Answered by
0
Answer:Correct option is
D
4:9
Volume of sphere is
3
4
πr
3
V
2
V
1
=
3
4
πr
2
3
3
4
πr
1
3
=
r
2
3
r
1
3
=
27
8
⇒
r
2
r
1
=
3
2
⇒
S
2
S
1
=
4πr
2
2
4πr
1
2
=
r
2
2
r
1
2
=(
3
2
)
2
=
9
4
Step-by-step explanation Correct option is
D
4:9
Volume of sphere is
3
4
πr
3
V
2
V
1
=
3
4
πr
2
3
3
4
πr
1
3
=
r
2
3
r
1
3
=
27
8
⇒
r
2
r
1
=
3
2
⇒
S
2
S
1
=
4πr
2
2
4πr
1
2
=
r
2
2
r
1
2
=(
3
2
)
2
=
9
4
:
Similar questions