Question

if the diameters of two sphere are in the ratio 2:3. find the ratio of their surface areas
pl give proper answer plll​

Answer 1

Answer:

Your Answer is 4: 9..................

Answer 2

Answer:

8 : 27

Step-by-step explanation:

In this ratio, we can take x as the constant of proportionality.

So, the diameters of the 2 spheres will be 2x and 3x.

Thus, the radii of the 2 spheres will be x and 1.5x.

Volume of sphere 1 (V₁) = 4/3 × π × x³

Volume of Sphere 2 (V₂) = 4/3 × π × 27/8 × x³

Dividing V₁ by V₂, we get 8 / 27.

Hence, the ratio between the volume of 2 spheres is 8 : 27.