A Redbull can with total volume of 330 mL has height 12 cm and radius 2.82 cm. A promotion gives 20% more volume for free! What is the new radius of the can if the height remains the same as the original?
Hint: Only one calculation need be performed.
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Since volume of the can is directly proportional to the square of the radius or V ∝ r 2 , then
V 1 V 2 V 1 1 . 2 V 1 ⟹ r 2 = r 1 2 r 2 2 = 2 . 8 2 2 r 2 2 = 1 . 2 × 2 . 8 2 ≈ 3 . 0 9