Answer:
volume of the sphere = 2143.57units³
Explanation:
Given that the area of a sphere = 256πunits²
volume of the sphere = ?
recall that the area of a sphere = 4πr²
256π = 4 πr²
divide both sides by 4π
256π/4π = 4πr²/4π
64 = r²
squaring both sides
r = √64
r = 8units
now to calculate the volume of the sphere,
recall that
volume of the sphere = 4π r³/3
volume of the sphere = 4π 8³/3
volume of the sphere = 4π 512/3
volume of the sphere = 4 × 3.14 × 170.667
volume of the sphere = 2143.57units³