Question

Please help me finish a related rates problem! Will fan and medal!

Answer 1

y company needs a custom box for their truffles. the box they've chosen is in the shape of a cylinder with a hemisphere of the same radius on top. the total volume of the box is v= 1/2 ((4 pi r^3)/(3))+ (pi)(r^2)(y-r). y is height and r is radius.originally, the candy box was designed to have a height of 6 inches and a radius of 2 inches, but the box needs to be slightly shorter. you need to adjust the box so that the height is 5.75 inches but v remains constant. find the value of dr/dy at the point r=2 and y=6. use the value to approximate the new radius.

Answer 2

I found dr/dy=-1/5 for r=2 and y=6, but how do I solve for the new radius?

Answer 3

what grade are you in dang

Answer 4

AP Calculus AB