1) Jawbreakers are a type of candy which have the shape of a ball...

Question

1) Jawbreakers are a type of candy which have the shape of a ball...

1) Jawbreakers are a type of candy which have the shape of a ball (see picture), and they take a long time to dissolve.  Jawbreakers come in a variety of sizes.

Suppose Store A sells Jawbreakers that have a diameter of 0.59 inches.  Suppose Store B sells Jawbreakers that have a diameter of 0.61714 inches.

(a) Find the amount of candy you get in one of Store A's jawbreakers.
Round the answer to 4 decimal places.
Amount of candy in Store A's jawbreaker:
in cubic in square in

b) Find the amount of candy you get in one of Store B's jawbreakers.
Round the answer to 4 decimal places.
Amount of candy in Store A's jawbreaker:
in square in cubic in

(c)  Complete the sentence:
The diameter of the Jawbreakers at Store B is _____% bigger than the diameter
of the Jawbreakers at Store A.
Round your percentage to 1 places (for example, write 33.333333% as 33.3%)

2)Suppose a soup company produces their own cans and then fills them with soup for distribution to stores.  The cans are 5.74 inches tall, and they have a diameter of 3.22 inches.
Round every value to 1 decimal place.

(a)  How much aluminum is needed to make each can?
Select an answer inches square inches cubic inches

(b)  How much soup can each can hold?

For a cube with side 5.9 inches, find the volume and surface area of the cube.

(a) Calculate each of the following:

•                 The surface area of the cube
•                square inches inches cubic inches
• The volume of the cube is
inches square inches cubic inches

(b)  Now suppose we make a larger cube by increasing the length of each side of the cube by 3%.

• The sides of the new cube would be
square inches cubic inches inches  .
Round this one to 4 decimal places.

• The surface area of the new cube would be
square inches inches cubic inches  .

The volume of the new cube would be
square inches cubic inches inches  .

(c)  Complete each sentence based on the answers to parts and and (b):

• The bigger cube has sides that are 3% bigger, but the bigger cube
has a surface area that is
%          bigger in surface area.
Round your percentage to 1 decimal place.

• The bigger cube has sides that are 3% bigger, but the bigger cube
has a volume that is
%          bigger in volume.
Round your percentage to 1 decimal place.

3)  Suppose a medium pizza at Alberto's is shaped like a cylinder, with an average height of 0.63 inches, and a diameter of 11.3 inches.  Use this information to calculate the amount of pizza you get in this medium pizza.  Use the value 3.14 for the value ππ in your calculation, and round the answer to 2 places.
The amount of pizza you get with a medium pizza at Alberto's is
inches square inches cubic inches

(a)  Suppose a medium pizza at Berta's is shaped like a cylinder, with an average height of 0.9 inches, and a diameter of 11 inches.  Use this information to calculate the amount of pizza you get in this medium pizza.  Use the value 3.14 for the value ππ in your calculation, and round the answer to 2 places.
The amount of pizza you get with a medium pizza at Berta's is
square inches inches cubic inches

(b)  Suppose a medium pizza at Alberto's is on the menu for 9.99 dollars, and suppose a medium pizza at Berta's is 11.88 dollars.  Use the values given in parts (a) and (b) to complete each sentence below.  Round to 2 places if needed.
We get          cubic inches of pizza for every dollar spent at Alberto's.
We get            cubic inches of pizza for every dollar spent at Berta's.
We spend                       dollars for every cubic inch of pizza at Alberto's.
We spend                dollars for every cubic inch of pizza at Berto's.

(c)  Identify which of the following is accurate.

•       Alberto's is a better deal since you get more pizza for every dollar you spend.
•       Berta's is a better deal since you spend more to get each cubic inch.
•      Berta's is a better deal since you get more pizza for every dollar you spend.
•       Alberto's is a better deal since you spend more to get each cubic inch.

4) A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin if its radius is r=4.1 ft, the height of the cylindrical portion is h=8 ft, and the overall height is H=15.7 ft?

Volume (to the nearest tenth)                   cu. ft. ft sq. ft.

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