If you think about how it works when cups are stacked. you will begin with the height of the cup plus the height of the lip you would then add just the heigt of the lips until you get to the height needed. so your answer should be 19 cups
The disk method will only involve a single integral. I've attached a sketch of the bounded region (in red) and one such disk made by revolving it around the y-axis.
Such a disk has radius x = 1/y and height/thickness ∆y, so that the volume of one such disk is
π (radius) (height) = π (1/y)² ∆y = π/y² ∆y
and the volume of a stack of n such disks is

where
is a point sampled from the interval [1, 5].
As we refine the solid by adding increasingly more, increasingly thinner disks, so that ∆y converges to 0, the sum converges to a definite integral that gives the exact volume V,


He needs to earn ; 77.99-20= 57.99 dollars
so in one week there are 2 weekends; so he earns 6×3×2 = 36 dollars
so no of week = 57.99÷ 36= 1.6 weeks
so weeks are in natural no thus it will take him 2 weeks !!
Answer:
he went 13 units right instead of 12
Step-by-step explanation: