I need help i am stuck on this question

Question

Elsa has a stack of identical cake layers for Coronation Day. The cake has 3 layers as shown. The volume of the 3 layers is 8 3/4. What is the height, in feet of one layer of cake?The height of one layer of cake

Answer 1

if this is a circular cake then volume = height times pi(r^2) where r= radius of the cake

8 3/4 = 35/4 = hpi(r^2) where h= height of 3 layers

h = pi(r^2)(4/35 = 4pi(r^2)/35

h/3= height of one layer = 4pi(r^2)/105

if this is a cubic cake with height =diameter

then

volume = h^3 = d^3 = 35/4 = the height of 3 layers cubed

h = cubic root of 35/4

h/3 = 1/3 of the cube root of 35/4 = about 0.687 feet = height of one layer = about 8 1/4 inches