TP-7 Using the concept of partial derivatives in this given problem. The volume of a frustum of a cone is given by V = f ( R, r, h ) = 1/3 π h ( R 2 + Rr + r 2 ). When R = 10, r = 4, and h = 6, what...

TP-7    Using the concept of partial derivatives in this given problem. The volume of a frustum of a cone is given by
V
=
f
(R, r, h) = 1/3 πh
(R
²
+
Rr
+
r
²). When
R
= 10,
r
= 4, and
h
= 6, what is the rate of change in volume with respect to the upper radius
r? With respect to the height
h?