Question

The radius of a sphere is 24 cm. It is melted to form smaller spheres each having a radius of 6 cm. What will be the ratio of surface areas of one la

to that of a small sphere?​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

The ratio of the SA of the big sphere to that a small sphere is 16 : 1

Step-by-step explanation:

Given the radius of the sphere = 24 cm

This sphere is melted to form small spheres of radius of 6 cm

We need to find the ratio of the surface area of the big sphere to that a small sphere.

= $\frac{SA of BigSphere}{SA of Small Sphere}$

We know that Surface Area = 4 πr²

=> $\frac{4\pi * 24^2}{4\pi*6^2}$

=> $\frac{16}{1}$

= 16 : 1

Therefore, the ratio of the surface area of the big sphere to that a small sphere is 16 : 1