Question

the surface area of 2 spheres are in ratio of 16:9 then find the ratios of there value​

Answer 1

Answer:

your answer is in the image

Answer 2

Answer:

Ratio of Volume = 64 : 27

Step-by-step explanation:

 

Solution: Let the radius of first and second sphere be R & r respectively.

As we know that

★ Surface Area of Sphere = 4πr² ★

S.A of first sphere = 4πR²

S.A of second sphere = 4πr²

A/q

(4πR²) : (4πr²) = 16 : 9

4πR²/4πr² = 16/9

R²/r² = 16/9

R/r = √16/√9

R/r = 4/3

So,

➳ Radius of first sphere is R = 4 and

➳ Radius of second sphere is r = 3.

Now,

★ Volume of Sphere = 4/3πr³ ★

Vol. of 1st sphere = 4/3πR³

Vol. of 2nd sphere = 4/3πr³

(4/3πR³) : (4/3πr³)

(4/3πR³) / (4/3πr³)

R³/r³ { Put values of Radius }

4³/3³

64/27

64 : 27

Hence, The ratio of volume of two spheres is 64 : 27.