Question

The volume and the surface area of a sphere is numerically equal, then the

radius of the sphere is

A. 3 units

B. 2 units

C. 2.5 units

D. 6 units​

Answer 1

Answer:

r = 3 units

Step-by-step explanation:

Since volume = surface area

(4/3) · π · r³ = 4 · π · r²

π, 4 and r² cancel out to give:

r/3 = 1

r = 3 units

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Answer 2

Answer:

3 unit

Step-by-step explanation:

let the radius of the sphere = r ,

so volume of the sphere is =4/3 πr^3

then surface area of the sphere=4πr^3

since, given,

volume= surface area

=> 4/3πr^3 =4πr^3

=>r = 3 unit