Geometry CC
1.
A soda company is looking into different options for a new, 40 ounce soda can. They have
found that anything larger than a 3 inch diameter is uncomfortable for people to hold. If
they use a 3 inch diameter, what should the height of the cylindrical can be to the nearest
tenth of an inch? [Note: 1 ounce of soda = 1.8 cubic inches]
(1)
(2)
(3)
(4)
2.
Assignment #55
Modeling – Day 1
5.7
6.9
10.2
13.4
A company is choosing between two tanks for mixing chemicals. Both tanks have the
same price, so the company plans to choose the one that can hold the most chemicals.
The first tank is conical with a diameter of 10 feet and a height of 15 feet. The second
tank is a hemisphere with a radius of 5.5 feet
[Note: One cubic foot is equal to 7.48 gallons.]
a) Which tank should they choose?
b) How many more gallons, to the nearest gallon, does the chosen tank hold?
3.
In order for goldfish to thrive, each one needs about three cubic feet of water. If Milissa
builds a small pond in the shape of a perfect hemisphere with a diameter of 10 feet and
fills it with water, what is the maximum number of goldfish that she should put in the pond
if she wants them all to thrive?
(1)
(2)
(3)
(4)
87
174
261
523
4.
Jessica and Michelle are working on a science lab project where they are creating salt
solutions. Jessica’s container is in the shape of a rectangular prism which is 2 inches wide,
4 inches long, and 8 inches high. She fills it with water up to the 6 inch mark and adds 15
grams of salt to the water.
Michele’s container is a right triangular prism whose triangular base has legs that are 3 and
6 inches, respectively. The height of her container is also 8 inches. She fills it with water
to the 7 inch mark and adds 15 grams of salt to the water.
Which container has the greatest concentration of salt? Justify your answer.
5.
A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a
width of 8.5 feet, and a height of 4 feet. The container is completely filled with contents
that weigh, on average, 0.25 pound per cubic foot. What is the weight, in pounds, of the
contents in the container?
(1)
(2)
(3)
(4)
1.
2.
3.
1,632
408
102
92
3
Cone, 331 gallons
1
4. Jessica, work and explain
5. 3