Appeared in: 2026 (2 sets)
The rate of change of volume of a sphere with respect to its diameter, when its radius is $5 \text{ cm}$, is :
(A) $400\pi \text{ cm}^3/\text{cm}$
(B) $100\pi \text{ cm}^3/\text{cm}$
(C) $50\pi \text{ cm}^3/\text{cm}$
(D) $25\pi \text{ cm}^3/\text{cm}$