IDNLearn.com is designed to help you find reliable answers to any question you have. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.
A candy 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) (4/3) (pi r^3) + pi r^2 (y - r), where y is the height of the box and r is the radius of the box.
Originally, the candy box was designed to have a height of 6 inches and a radius of 2 inches, but the shipper suggests that the boxes be made slightly shorter. You now need to adjust the radius so that the height is reduced to 5.75 inches but the volume remains constant.
B. Use the value dr/dy = -0.2 to approximate the new radius for these boxes.
(I found this derivative in part A, and it is correct).
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.
