Saturday

April 18, 2015

April 18, 2015

Posted by **Kelly** on Tuesday, October 15, 2013 at 9:54pm.

If the radius is changing at the rate of dr/dt =3ft/min, find the rate of change

of the area(dA/dt) at the moment in time when r = 16 ft

dA/dt=

- Calculus Homework -
**Reiny**, Tuesday, October 15, 2013 at 9:57pmA = πr^2

dA/dt = 2πr dr/dt

so when r = 16 ft and dr/dt = 3 ft/min

dA/dt = 2π(16)(3) ft^2/min

= 96π ft^2/min

**Answer this Question**

**Related Questions**

calculus - Determine the rate at which the surface area is changing with respect...

Calculus - 1. The radius of a sphere is expanding at a rate of 14 in/min. a) ...

Calculus - 1. The radius of a sphere is expanding at a rate of 14 in/min. a) ...

Calculus - A spherical balloon is inflated at a rate of 10 cubic feet per minute...

Calculus Homework - You are blowing air into a spherical balloon at a rate of 7...

calculus - Sand falls from a conveyor belt at a rate of 20 m^3/min onto the top ...

math - Suppose a forest fire spread in a circle with radius changing at a rate ...

calculus - oil is leaking from a pipeline on the surface of a lake and forms an ...

calculus - The radius of a circular oil spill is increasing at a rate of 10 feet...

calculus - The radius of a circular oil spill is increasing at a rate of 10 feet...