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9. two food companies use different cans for their tomato soup. company…

Question

  1. two food companies use different cans for their tomato soup. company a sells its soup in the can shown at the left. company b sells its soup in the can shown at the right. both cans are priced at $1.79 per can. which is the better buy? your work will justify your answer. r = 1 h = 3 r = 2 h = 1.5 a b

Explanation:

Step1: Calculate volume of can A

$V_A=\pi r^2h=\pi\times1^2\times3 = 3\pi$

Step2: Calculate volume of can B

$V_B=\pi r^2h=\pi\times2^2\times1.5=6\pi$

Step3: Compare volumes

Since $V_B > V_A$ and price is same.

Answer:

Company B's can is a better buy.