The volume of a right circular cone of radius r and height h is 
. Suppose that the radius and height of the cone are changing with respect to time t.
a.Find a relationship between 
, 
, and 
.
b.At a certain instant of time, the radius and height of the cone are 12 in.and 13 in.and are increasing at the rate of 0.2 in./sec and 0.5 in./sec, respectively.How fast is the volume of the cone increasing?
Definitions:
Q1: Find the volume of the solid obtained
Q16: How many points of inflection are on
Q59: Evaluate the indefinite integral. <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5971/.jpg" alt="Evaluate
Q66: The speed of traffic flow on a
Q68: Higgins Labs Inc. ,uses a process costing
Q74: If <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5971/.jpg" alt="If of
Q77: Find the general indefinite integral. <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5971/.jpg"
Q80: Evaluate the integral. <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB5971/.jpg" alt="Evaluate the
Q96: Use the Midpoint Rule with n =
Q134: A company could improve its acid-test ratio