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. if the ink lasts 7 weeks, what is the volume of ink that the student uses each week?
a) 0.21 cm3.
b) 0.92 cm3.
c) 1.84 cm3.
d) 12.9 cm3.

Option A is correct

0.21

Step-by-step explanation:

Volume of a cylinder(V) is given by:

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;

Divide both sides by 2 we have;

or

r = 0.200 cm

Using the formula [1] substitute the given values we have;

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 =

therefore, 0.21 cubic cm is the volume of ink that the student uses each week

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