Class Celebration! – 8.7A
Vocabulary
Volume – the amount of space that a substance or object occupies
Hemisphere – half of a sphere
Your class is having a celebration! Your Math teacher, Ms. Bootz, is providing the cookies, soda and party
favors. She needs your help to determine the best method to make her purchases.
Cookies
The dimensions of the cookies are listed below. The bakery will box the cookies so you can get the
largest one in one box, four medium cookies in one box, or nine small cookies in one box so they look
like this:
1 Large Cookie
Large cookies –
6 inch diameter
4 Medium Cookies
9 Small Cookies
Medium cookies 3 inch diameter
Small cookies2 inch diameter
Which type of cookie box will give the class the most cookie? Before you start, make a prediction about
which type of cookie you will buy. (Hint: Find the area of the cookies in each package!)
Answer:
1 large cookie ≈ 28.26 in2
4 medium cookies ≈ 28.26 in2
9 small cookies ≈ 28.26 in2
They are the same!
Was your prediction correct? Which package will provide the most cookie for your class?_________
Drinks
Your teacher was searching on the internet and found two different style cups that have the same
diameter. Both cups are 20 cm across. Which cups should your teacher purchase to hold the most
soda?
Option 1:
Cone – shaped cups measuring 20 cm across and 15 cm tall.
15
Volume of a cone:
Answer:
Cone- shaped cup volume ≈ 1570 cm3
Option 2:
Cylinder –shaped cups measuring 20 cm across and 6 cm tall.
6
Volume of a cylinder:
Answer:
Cylinder- shaped cup volume ≈ 1884 cm3
Answer:
The cylinder- shaped cup will hold the most
soda!
What can you tell about the relationship between the volume of both cups, considering that they both
have the same diameter?
Party Favors
At the celebration you will each be making your own candle to take home 
There are four different styles to select from. Which candle will require the least amount of wax to
make?
Show all of your work in the boxes provided. Round to the nearest tenth only in the final step of your
work.
Volume of a
Volume of a
cylinder:
cone:
Answer:
Answer:
≈282.6 in3
≈261.8 in3
6 in
10 in
10 in
10 in
Red Candle
Green Candle
Volume of a
Volume of a
sphere:
sphere:
3 in
6 in
Volume of a
8 in
cylinder:
Answer:
Answer:
≈ 267.9 in3
8 in
≈ 282.6 in3
Blue Candle
Yellow Candle
Answer:
The Green Candle will require
the least amount of wax!