Question

please answer the following question ​

Answer 1

25:9 will be the answer

Answer 2

Option A is correct.

Step-by-step explanation:

Ratio of volume of two spheres = $V_{1} : V_{2}$ = 125 : 27

We know that volume of the sphere V = $\frac{4}{3} \pi r^{3}$

Thus the ratio of the volume of spheres = $r_{1} ^{3} : r_{2}^{3}$ = 125 : 27

⇒ $r_{1} : r_{2}$ = 5 : 3

We know that the surface area of sphere =  $4 \pi r^{2}$

Thus the ratio of surface areas of two spheres

⇒ $A_{1} : A_{2}$

⇒ $r_{1} ^{2} : r_{2} ^{2}$

⇒ $5^{2} : 3^{2}$

⇒ 25 : 9

Thus the ratio of areas of two spheres is 25 : 9

Thus option A is correct.