Math Problem Statement
Last year Gill’s cylindrical 21st birthday cake wasn’t big enough to feed all her friends. This year she will double the radius and triple the height.
What will be the ratio of the volume of this year’s birthday cake to the volume of last year’s cake? Leave your ratio in its simplest form.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of Cylinders
Ratios
Formulas
Volume of a Cylinder: V = πr^2h
Theorems
Scaling Theorem for Volumes
Suitable Grade Level
Grades 9-12
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