Question

Find the radius of the sphere, if volume and curved surface area of a sphere
are numerically equal.
​

Answer 1

Step-by-step explanation:

Let the radius of the sphere be r Units 

So, volume of sphere =34πr3

And, surface area of sphere =4πr2

Given, Volume = surface area 

34πr3=4πr2 

r=3 Units

Therefore, radius of the sphere=3 Units

Answer 2

Answer:

3 units

Step-by-step explanation:

Let the radius of the sphere be r Units

So, volume of sphere =

3

4

πr

3

And, surface area of sphere =4πr

2

Given, Volume = surface area

3

4

πr

3

=4πr

2

r=3 Units

Therefore, radius of the sphere=3 Units