Suppose a spherical asteroid has a radius of approximately 3.2 × 103 m. Use the formula start fraction 4 over 3 end fractionsymbol pir3 to find the approximate volume of the asteroid.
To find the volume of the asteroid, we can use the formula V = (4/3)πr^3, where r is the radius of the asteroid.
Given that the radius of the asteroid is approximately 3.2 × 10^3 m, we can plug 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(32,000)(32,000)(32,000)
V ≈ (4/3)π(32,000)^3
V ≈ (4/3)π(32,000)^3
V ≈ (4/3)π × 32,000^3
V ≈ (4/3)π × 32,000,000,000
Therefore, the approximate volume of the asteroid is 1.35 × 10^11 cubic meters.