Question

If in a sphere volume and surface area are numerically equal the radius will be

Answer 1

the radius of the sphere is 3unit

Answer 2

Answer:

3  unit

Step-by-step explanation:

Surface area of sphere = 4πr²

Volume of sphere = (4/3) πr³

Let these be same(numerically) for radius = R.

  ⇒ Surface area = volume

⇒ 4πr² = (4/3) πr³

⇒ r² = r³/3

⇒ 3r² = r³

⇒ 3r² - r³ = 0

⇒ r²(3 - r) = 0

    r² = 0       or  3 - r = 0

    r = 0         or    r = 3