How to find the volume of V(slice)(x) of a cone and h(x) of the definite integral of a cone?

Question

Consider a circular cone of radius 3 and height 5

1. What is the Volume Vslice(x) of the representative slice?

linear function f(x) = -3/5x + 3

Radius of the slice r = 3 - 0.6x

Volume of Vslice = ?

1. What definite integral will sum the volumes of the thin slices across the full horizontal span of the cone?

a = 0

b = 5

h(x) = ?

Answer 1