Correct option is (a) 10.08π cm^3
The explanation: Let x be the radius of the sphere.
Then, x=6cm and Δx=0.07cm
The volume of a sphere is given by V=\(\frac{4}{3}\) πx^3
∴\(\frac{dV}{dx}=\frac{4}{3}\) π(3x^2)=4πx^2
dV=(\(\frac{dV}{dx}\))Δx=4πx^2 Δx
dV=4×π×6^2×0.07
dV=10.08π cm^3