Respuesta :

Solution:

Note that:

  • Volume of spherical asteroid = 4πr³/3

Finding the volume:

  • Volume of spherical asteroid = V = 4πr³/3
  • => V = 4 x π x (8.5 x 10²)³/3
  • => V = 4 x π x (8.5 x 10²)(8.5 x 10²)(8.5 x 10²)/3
  • => V = 4 x 3.14 x 8.5 x 10² x 8.5 x 10² x 8.5 x 10²/3
  • => V = 7713.41 x 10⁶/3
  • => V ≈ 2571.14 x 10⁶

Converting into scientific notation:

  • => V ≈ 2571.14 x 10⁶
  • => V ≈ 2.57114 x 10⁹ ≈ 2.57 x 10⁹ (Option A)