Recent content by AmiraM

Yes, there was definitely something wrong with the way I derived. I tried deriving it again, step-by-step this time, and ended up with the correct answer. Thanks so much guys, you were really helpful :)

Thanks! Alright, so I tried what you said and came out with: S = 4π(sqrt3(3v/4π))2 Taking the derivatives using the chain rule leaves me with: dS/dt = 8π(3v'/4π)1/3(3v'/4π)-2/3, or dS/dt = 8(3v'/4)-1/3 When I plug v' = 70 into the equation, it returns 2.137, which is unfortunately also...

Homework Statement Air is being pumped into a spherical balloon so that its volume increases at a rate of 70 cm3/s. How fast is the surface area of the balloon increasing when its radius is 5 cm3?Homework Equations A ball with radius r has the following volume (V) and surface area (S): V =...