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BATH SPABLATION FRORENCY ASSESSMENTUNTS / CONTACALCULATION TOP AT
AIME PAZ
A grocery store sells two cans of juice. The smaller can holds 12 fluid ounces,
the larger can holds 30 fluid ounces, and both cans have the same radius, as
shown in the diagram. The height of the larger can is h
30 fluid
ounces
h
Part A
Determine the ratio of the height of the 12-fluid ounce can to the height of the
30-fluid ounce can. Show your work or explain your answer.
Enter your answer and your work or explanation in the space provided.
Math symbols
Relations
12 fluid
ounces
not to scale
Geometry
▸ Groups
Trigonometry
Statistics
▸ Greek
Part B
The company that produces the 30-fluid ounce can is changing the design of
the can. The new can will contain 1.21 times as much fluid as the original 30-
fluid ounce can. The height will remain the same.
. Write an expression for the radius of the new can in terms of the radius of
the original 30-fluid ounce can, r. Show or explain your work for finding
the expression.