Answer:
-4.2081 × 10⁻⁴ m³
Explanation:
Volume of the copper sphere = 4/3 π r³ where r is the radius of the sphere which = 2.50 m
Volume of copper Vo = 4/3 × 3.142 × 2.5³ = 65.46 m³
Bulk modulus = - VoΔp / ΔV where Vo is the initial volume of the sphere, Δp is the change in pressure in N/m² and ΔV is the change in volume
make ΔV subject of the formula
ΔV = -VoΔp / B = (-65.46 × ( 10 - 1) ×10⁵) / (1.4 × 10¹¹)
ΔV = -589.14 × 10⁵ / ( 1.4 × 10 ¹¹) = - 420.81 × 10 ⁻⁶ m³ = -4.2081 × 10⁻⁴ m³