Answer:
1) the volume of the entire cake is ≈ 392.5 cubic inches
2) the volume after 1/6 of it has been removed is ≈ 327.1 cubic inches
Explanation:
1) Formula for a cylinder = π r^2 h
First, find the area of the base of the cake (doing π r^2)
A = π r^2
A = 3.14 · 5^2
A = 3.14 · 25
A ≈ 78.5 in^2
Next, multiply the area of the base by the height of the cake (multiplying π r^2 by h)
78.5 · 5 = 392.5 in^3
2) Just divide 392.5 by 6 and subtract what you get from 392.5.
392.5/6 ≈ 65.4
392.5 - 65.4 = 327.1 in^3