Hey there!!
The formula to find the surface area of a sphere 4πr²
1 st sphere = surface area = 9π
9π = 4πr²
4r² = 9
r² = 9/4
r = √9/4
r = 3/2
The radius of the first sphere = 3/2
The second sphere :
Surface area = 25π
4πr² = 25π
4r² = 25
r² = 25/4
r = √25/4
r = 5/2
The radius of the second sphere = 5/2
Volume of a sphere formula - 4/3 ( πr³ )
Let's find the volume of the first sphere
Radius = 3/2
Plug in the value
4/3 ( π × (3/2)³ )
4/3 ( π × 27/8)
9π/2 = volume of the first sphere
Let's find the volume of the second sphere :
Radius = 5/2
4/3 ( π × ( 5/2 )³ )
4/3 ( π × 125 / 8 )
125π/6 = volume of the first sphere
Ratio of 1st sphere to the second sphere
( 9π/2 ) ÷ ( 125π/6 )
= 27 : 125 is the ratio
Hope my answer helps!
