Question

See attached word problem

Answer 1

a) volume = pi R^2 * H
smallest level: pi (2x)^2 * x = 4 pi x^3
middle level : pi (4x)^2 * 2x = 32 pi x^3
largest level : pi(6x)^2 * 3x = 108 pi x^3

b) all the levels summed = 448 pi
So, (4+32+108) pi x^3 = 448

c) 144 x^3 = 448
x^3 = 28/7
x = 1.587 approx.

d) (will use x = 1.6)
smallest level: radius 2x = 3.2, height x = 1.6
middle level : radius 4x = 6.4, height 2x = 3.2
largest level : radius 6x = 9.6, height 3x = 4.8