Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Topic: related rates I need your help with this AP calculus question. please solve the question in thorough manner and send me the answer in
Topic: related rates
I need your help with this AP calculus question. please solve the question in thorough manner and send me the answer in a pdf file
Please use camscanner to capture your work.
A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t = c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 12 inch per minute. (a) At time t = c, at what rate is the area of the circular cross section of the clay decreasing with respect to time? Show the computations that lead to your answer. Indicate units of measure. (b) At time t = c, at what rate is the height of the clay increasing with respect to time? Show the computations that lead to your answer. Indicate units of measure. (The volume V of a cylinder with radius r and height h is given by V=Trr2h .)Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started