Question

For what radius of a sphere is its surface area and volume the same value? ​

Answer 1

Answer:

radius = 3   unit

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

Answer 2

Just equate bro

Surface area of sphere formula= 4πR^2

Volume = 4/3πR^3

On equating,

R^2= R^3/3

R= 3