Answer:
A.
; B.
; C. 19min
Step-by-step explanation:
<h3>First Step: Determine the size of the new straw</h3>
The size of the new straw is "double both the width and thickness of a standard straw". "A standard straw is 4mm in diameter and 0.5mm thick". So, the new straw is, then:
or, equivalently,
(<em>Diameter</em>).
or, equivalently,
(<em>Thickness</em>).
<h3>Second Step: Determine the cross-sectional area of the new straw</h3>
The cross-section area is "a section made by a plane cutting anything transversely, especially at right angles to the longest axis" <em>Cross-section</em> (2020), In Dictionary.com. Therefore, the area here is that of a circle:
,
Where
, and represents the ratio between a circle's circumference and its diameter, and <em>r</em> is the circle's radius or its diameter divided by 2.
Then, the area is:
, rounded to <em>the nearest hundredth</em>:

<h3>Third Step: Determine the maximum volume of milkshake that can be in the straw at one time</h3>
The new straw is 10cm long and its cross-section is, approximately,

Since the straw is a cylinder, and the volume of a cylinder is:
, where <em>h</em> is the height of the straw. In this case is 10cm long.
So, <em>the maximum volume of milkshake that can be in the straw at one time</em> is the volume of the straw:
, rounded to the <em>nearest hundredth</em>:

<h3>Fouth Step: Determine the minimum amount of time that it will take Corbin to drink the milkshake</h3>
A large milkshake is 950mL, and we know that:

So,
, therefore, 
"Corbin withdraws the full capacity of a straw 10 times a minute" or Corbin withdraws:
every minute.
The large milkshake is
. If Corbin withdraws
, <em>the minimum amount of time that it will take him to drink the milkshake</em> is:
, since
.
Rounded to the nearest minute, the minimum amount of time is 19min.