The ratio of the curved surface area of Two hemispheres is 4:9. Find ratio of their diameters. I will follow the person who will answer
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Answered by
1
Answer:
8 : 27
Step-by-step explanation:
Let r and R are two radius of a spheres.
According to the question,
⇒
4πR
2
4πr
2
=
9
4
⇒
R
2
r
2
=
6
4
Taking square root on both sides.
⇒
R
r
=
3
2
---- ( 1 )
The volume of two spheres are in ratio,
⇒
3
4
πR
3
3
4
πr
3
⇒
R
3
r
3
From ( 1 ),
⇒
(3)
3
(2)
3
⇒
27
8
∴ The required ratio is 8:27
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