Friday

January 30, 2015

January 30, 2015

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

**Answer this Question**

**Related Questions**

calculus - A spherical balloon is being inflated at a rate of 10 cubic inches ...

Calculus - A spherical balloon is being inflated at a rate of 10 cubic inches ...

calculus - Air is being pumped into a spherical balloon so that its volume ...

Calculus - Air is being pumped into a spherical balloon so that its volume ...

calculus - A spherical balloon is leaking air at 2 cubic inches per hour. How ...

math - Air is pumped into a balloon such that its volume increases at the rate ...

related rates problem-calculus - A spherical balloon is being filled with air in...

Calculus - Air is being pumped into a spherical balloon and the volume is ...

calculus - gas is pumped into a spherical balloon at the rate of 1 cubic feet ...

AP calculus AB - A spherical balloon is being filled with air in such a way that...