Question

juanita makes a stack of pennies 38 millimeters tall. each penny has a diameter of 19.05 millimeters.

part a
what is the volume of the cylindrical stack of pennies?

image of a cylinder with height 38 mm and diameter 19.05 mm

type the correct answer in the box. use numerals instead of words. round your answer to the nearest cubic millimeter.

the volume of the stack of pennies is approximately mm³.

Explanation:

Step1: Find the radius of the penny

The diameter of each penny is 19.05 millimeters. The radius \( r \) is half of the diameter, so \( r=\frac{19.05}{2}=9.525 \) millimeters.

Step2: Recall the formula for the volume of a cylinder

The volume \( V \) of a cylinder is given by the formula \( V = \pi r^{2}h \), where \( r \) is the radius and \( h \) is the height (or length) of the cylinder.

Step3: Substitute the values into the formula

We know that \( r = 9.525 \) mm and \( h = 38 \) mm. Substituting these values into the formula, we get:

$$
LATEXBLOCK0
$$

Answer:

10827