The volume of a sphere is 500/3π cm3.
Work out the surface area of the sphere.
Give your answer in terms of π.

Respuesta :

The answer is 100π cm².

Since we are given the volume, equate it to the formula of a sphere to find the radius.

  • 500/3π = 4/3πr³
  • r³ = 500/4
  • r³ = 125
  • r = 5 cm

Now, substitute this in the formula to find surface area.

  • A = 4πr²
  • A = 4π × (5)²
  • A = 100π cm²