Answer:
Total volume of cake = 1452 cubic inches
Step-by-step explanation:
Each layer of the cake has a cylindrical shape, so that:
volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
Where r is the radius and h represents the height.
i. For the lower layer;
h = 6 inches and r = 6 inches
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\frac{22}{7}[/tex] x [tex](6)^{2}[/tex] x 6
= 678.86 cubic inches
ii. For the middle layer;
h = 6 inches and r = 5 inches
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\frac{22}{7}[/tex]x [tex](5)^{2}[/tex] x 6
= 471.43 cubic inches
iii. For the top layer;
h = 6 inches and r = 4 inches
volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\frac{22}{7}[/tex] x [tex](4)^{2}[/tex]x 6
= 301.71 cubic inches
Total volume of cake = 678.86 + 471.43 + 301.71
= 1452 cubic inches
