Thread: related rates of change

What are the formulas for the surface area A and volume V of a sphere with radius r?

You are given that dA/dt = 8. You are asked to find dV/dt when A = 60.

Differentiate the area formula, plug in the known value, and solve for dr/dt.

Differentiate the volume formula, plug in the known values, and solve for dV/dt.

If you get stuck, please reply showing your steps so far. Thank you!