Tuesday

October 21, 2014

October 21, 2014

Posted by **Kelly** on Wednesday, October 16, 2013 at 10:49pm.

(a) Next write a formula relating the changing volume V(t) of the sphere to the changing radius r(t), and differentiate that formula with respect to t. Using what you know about V'(t) and r(1), find the rate of change of the radius at t=1 sec:

(b) Finally, write a formula relating the changing surface area S(t) of the sphere to the changing radius r(t), and differentiate that formula with respect to t. Use what you know about r(1) and r'(1) to determine the rate of change of the surface area at t=1 sec:

- Calculus Homework -
**Steve**, Thursday, October 17, 2013 at 4:30ama = 4πr^2

da/dt = 8πr dr/dt

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