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

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation:

im with everythinglos so yeahhhhh

step-by-step explanation: