Q.The surface areas of two spheres are in the ratio 1: 4. Find the ratio of
their volumes.
I'm from Delhi
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Answers
Answered by
1
Answer:
1:8.
Step-by-step explanation:
The ratio of the areas = ratio of squares of the ratio of the radii.
The ratio of the volumes = ratio of cubes of the ratio of the radii.
Ratio of the radii = √1 :√4 = 1: 2.
So the ratio of the volumes = 1^3 : 2^3
= 1:8.
Answered by
1
Answer:
We know that
4πR
2
4πr
2
=
4
1
So we get
(
R
r
)
2
=(
2
1
)
2
It can be written as
R
r
=
2
1
Consider V
1
and V
2
as the volumes of the spheres So we get
V
2
V
1
=
4/3πR
3
4/3πr
3
We can write it as
(
R
r
)
3
=(
2
1
)
3
=
8
1
Therefore, the ratio of their volumes is 1:8.
hope it helps you
ohh! iam from Telengana, Hyderabad.
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