Answer:
Option A is correct
0.21 \(\text{cm}^3\)
Step-by-step explanation:
Volume of a cylinder(V) is given by:
\(V = \pi r^2h\)
where,
r is the radius and h is the height of the cylinder respectively.
As per the statement:
The portion of a student’s ballpoint pen that contains the ink is a cylinder with a diameter of 0.400 cm and a height of 11.5 cm.
⇒diameter(d) = 0.400 cm and height(h) = 11.5 cm
We know that:
Diameter(d) = 2(r)
then;
\(0.400 = 2r\)
Divide both sides by 2 we have;
\(0.200 = r\)
or
r = 0.200 cm
Using the formula [1] substitute the given values we have;
\(V = 3.14 \cdot (0.200)^2 \cdot 11.5\)
Simplify:
V = 1.4444 cubic cm.
It is given that If the ink lasts 7 weeks.
then;
Volume of ink that the student uses each week = \(\frac{1.4444}{7} \approx 0.21 cm^3\)
therefore, 0.21 cubic cm is the volume of ink that the student uses each week
