Name: __________________________ Class ________
First
Last
Date__________
Geometry Chap 11 Cone Hat Project A and B Class Due Friday 1/9/15
This Project Counts for 1/3 of the Chapter 11 Test Grade.
The end result will be a custom fit and custom decorated cone hat
accompanied by this work sheet with all measurements and work shown.
NOTE: There are 2 different radii in this project.
Radius A of the semi-circle you cut out becomes the Slant Height of the
cone.
Radius B of the base of the cone is calculated from the circumference of
your head.
1) Use a string, tape measure (head-phone chord) and a ruler to measure the
circumference of your head in cm.
Head Circumference + 5cm = Circumference of base of hat =______
2) Decide on a reasonable slant height. (25 -31 cm )
Slant height (partially determined by the size of the paper)
= ______
3) The slant height for the hat = the Radius A of the semi-circle you will cut
out of paper to make the hat.
4) Draw and cut out the semi-circle.
5) Overlap the edges of the semi-circle to make a cone that will fit your
head. Tape or staple the cone so it keeps its shape.
6) Re-measure the circumference of the base of the cone and record on the
next blank. Us this in your calculations below.
Final Circumference of the base of the hat =______
7) Use C = 2p r to calculate the Radius B (SOLVE FOR r) of the base of the
cone.
Show your work neatly here: C = 2p r
Radius of base of the cone calculated in the previous step=
Geometry Hat Project
______
Name: __________________________ Class ________
First
Last
Date__________
8) Use the Pythagorean Theorem, to calculate the altitude of the hat.
Show your work neatly here:
Pythagorean Theorem: Cone Radius
A2
B2
+
=
C2
(Cone Radius)2 + (Cone Altitude)2 = (Slant Height)2
Altitude of the hat =
______
9) Calculate the Lateral Area of the hat. Show your work neatly here:
Formula for Lateral Area of a Cone:
Lateral Area =
______
10) Calculate the Volume of the hat. Show your work neatly here:
Formula for Volume of a Cone:
Volume =
______
During vacation, decorate the hat to represent your style or interests.
Include your first and last name written neatly inside the hat.
Geometry Hat Project
Name: __________________________ Class ________
First
Last
Date__________
RUBRIC: Chapter 11 Cone Hat Project
______/ 1
Head Circumference
______/ 1
Reasonable slant height
______/ 2
Construct cone hat
______/ 1
Re-measure and record circumference of the base of the hat.
______/ 3
Radius of the base of the cone with correct formula and neat,
correct work leading to this answer.
______/ 3
Altitude of the hat with correct formula and neat, correct work
leading to this answer.
______/ 3
Lateral Area of the hat correct formula and neat, correct work
leading to this answer.
______/ 3
Volume of the hat with correct formula and neat, correct work
leading to this answer.
______/ 2
Decorate the hat to represent your style or interests.
Include your first and last name written neatly inside the hat.
______/ 19 Total
(An undecorated hat with perfect calculations earns 89.5 %)
Geometry Hat Project