(Solved): Activity 6.2.1: Consider a circular cone of radius 3 and height 5 , which we view horizontally as p ...

Activity 6.2.1: Consider a circular cone of radius 3 and height 5 , which we view horizontally as pictured in the Figure. Our goal in this activity is to use a definite integral to determine the volume of the cone. a. Find a formula for the linear function $y=f(x)$ that is pictured in the figure. b. For the representative slice of thickness $?x$ that is located horizontally at a location $x$ (somewhere between $x=0$ and $x=5$ ), what is the radius of the representative slice? Note that the radius depends on the value of $x$.