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Key Concept Quiz 9.5
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1
Ewan is designing a new soft drink can. He wants to maximize the volume obtainable with a surface area of 275 cm2. Find the radius required.
A)3.8 cm
B)7.4 cm
C)7.6 cm
D)15.2 cm
2
Find the height of the can in question#1.
A)3.8 cm
B)7.4 cm
C)7.6 cm
D)15.2 cm
3
Find the volume of the can in question#1.
A)272 cm3
B)345 cm3
C)375 cm3
D)690 cm3
4
Althea is making a fuel tank for her ultralight aircraft. To stay within weight limitations, she is limited to 9600 cm2 of material. Find the maximum volume of fuel that the tank could hold if she uses a cylindrical tank.
A)36.1 L
B)44.4 L
C)64.0 L
D)72.5 L
5
A cube-shaped fuel tank would be easier to make, in question#4. Which would hold more fuel for the same surface area, and how much?
A)The cylindrical tank holds twice as much fuel as the cubic tank.
B)The cylindrical tank holds 12.5 L more than the cubic tank.
C)The cubic tank holds twice as much fuel as the cylindrical tank.
D)The cubic tank holds 12.5 L more than the cylindrical tank.





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