V
A small can of soup has a radius of 3.5 cm and a height of 12 cm. A family size can has a radius of
5 cm and is 15 cm high. Which contains more soup, one family sized can, or two small cans?
Small Can Volume (1 can) =
Family Sized Volume( 1 can)=
Answer the question:
O Find the VOLUME of the solid, which consists of a right cylinder drilled through a right
rectangular prism.
VOLUME:
5 in
4 in
10 in
5 in
L
The Fresha Drink Company is marketing a new soft-drink. The drink will be
sold in a “Fun Size” cylindrical can which holds 200 cm3. Here are a few
suggestions for the radius of the can.
a)
What is the height of each of these two options to the nearest
cm? Show your work
b) The surface area formula for a cylinder is SA = 2πr2 + 2πrh. Which of the two options uses more
aluminum to make the can? How much aluminum, in square centimeters, would be needed per can? Show
your work.
U
Paloma bought a block of wax in the shape of a right rectangular prism. The diagram below shows the
block and its dimensions.
a. What is the volume, in cubic centimeters, of the block of wax? Show your work.
Paloma melted the block of wax to make candles. The first candle she made is in the shape of a right
circular cylinder. The diagram below represents the candle and its dimensions.
b. What is the volume, in cubic centimeters, of the first candle? Show your work.
c. Does Paloma have enough wax to make a second candle in the same shape as the one shown?
Explain.
M
a)
You have been asked to design a bag similar to the one
pictured.
 The length of the bag will be 60 cm.
 The bag will have circular ends with diameters of
25cm.
What is the volume, the the nearest cubic cm, of this bag? Show your work.
b) You are also asked to make a bag that is 50% longer and has circular ends with diameters that
are 10 cm bigger. What is the volume, to the nearest cubic cm, of this larger bag? Show your
work.
E
a) Find the volume, to the nearest cubic cm, of the cylindershaped glass shown. Show your work.
b) The glass is filled with 113.04 cm3 of lemonade. What is the
height of the iced tea in the glass? Use 3.14 for π. Show
your work.
c) At a party, each identical glass is filled 5cm high with
lemonade. There are 50 guests and each guest will be served
2 glasses of lemonade. How many cubic centimeters of
lemonade are needed for the party? Show your work.