Suppose a spherical asteroid has a radius of approximately 3.2 × 10^3 m. Use the formula start 4/3 pi r^3 to find the approximate volume of the asteroid.

Answer 1

The formula to find the volume of a sphere is V = (4/3) * π * r^3, where r is the radius of the sphere.

Given that the radius of the asteroid is approximately 3.2 × 10^3 m, we can substitute this value into the formula:

V = (4/3) * π * (3.2 × 10^3)^3
V = (4/3) * π * (32,000)^3
V = (4/3) * π * 3.2768 × 10^10
V = 4.371 × 10^10 * π

Therefore, the approximate volume of the asteroid is 4.371 × 10^10 * π cubic meters.