Step-by-step explanation:
3.
the left cup is the summary of 2 cylinders.
the right cup is just a cone.
the volume of a cone is
pi×r²×h/3 = pi×3.5²×6/3 = pi×12.25×2 = pi×24.5 =
= 76.93 in³
the volume of a cylinder is
pi×r²×h
the first cylinder is
pi×3²×1.5 = pi×9×1.5 = pi×13.5 = 3.14×13.5 = 42.39 in³
the second cylinder is
pi×2²×2.25 = pi×4×2.25 = pi×9 = 28.26 in³
in total the cup has
42.39 + 28.26 = 70.65 in³
so, the cone has the larger volume by 6.28 in³ ≈ 6 in³.
that would be 3.479827 fl.oz. ≈ 3 fl.oz. of water.
I have no idea on what scale you need to quantify the amount of water. I just guessed.
2.
here we need the surface area.
the object consists of a large prism (or block) and a cylinder.
we don't need the bottom area for neither, as the cylinder is simply on top of the prism, and its bottom is not going to be painted either.
we need 5 sides of the prism :
front and back
left and right
top (and we need the full top, because the area the cylinder is covering up is the same area for the top of the cylinder).
and the we need to add only the side wall of the cylinder the "mantle".
so,
front and back rectangles are 10×3 × 2 = 60 in²
left and right rectangles are 10×3 × 2 = 60 in²
the top rectangle (square) is 10×10 = 100 in²
the cylinder mantle is
circumference of the circle × height
2×pi×r×h = 2×pi×4×6 = 3.14×48 = 150.72 in²
so, in total we have
60 + 60 + 100 + 150.72 = 370.72 in² ≈ 371 in²
