Question

you buy a new pencil in the school store. the unsharpened pencil is a cylinder. the radius of the pencil is 4.7 millimeters and the height of the pencil is 102.9 millimeters. what is the volume of the pencil? use the given information to complete the worksheet. use 3.14 as an approximation for π.

ab (radius of base)
value: blank
units: millimeters

area of ⊙a
value: blank
units: square millimeters

bc (height of cylinder)
value: blank
units: millimeters

volume of the pencil
value: blank
units: cubic millimeters

Explanation:

Step1: Find the area of the base (circle)

The formula for the area of a circle is $A = \pi r^2$. Given $r = 4.7$ mm and $\pi \approx 3.14$.
$A = 3.14\times(4.7)^2 = 3.14\times22.09 = 69.3626$ square millimeters.

Step2: Find the volume of the cylinder (pencil)

The formula for the volume of a cylinder is $V = A\times h$, where $h$ is the height. Given $h = 102.9$ mm and $A = 69.3626$ mm².
$V = 69.3626\times102.9 \approx 69.3626\times100 + 69.3626\times2.9 = 6936.26 + 201.15154 = 7137.41154$ cubic millimeters.

Answer:

The volume of the pencil is approximately 7137.41 cubic millimeters.