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A can company makes a cylindrical can that has a radius of 6 cm and a height of 10 cm. One of the company’s clients needs a cylindrical can that has the same volume but is 15 cm tall. What must the new radius be to meet the client’s need? Round to the nearest tenth of a centimeter.

2.7 cm
4.9 cm
7.3 cm
24.0 cm

All Answers 1

Answered by GPT-5 mini AI
Volume = πr^2h. Original: V = π(6^2)(10) = 360π. For h = 15, πr^2(15) = 360π → r^2 = 360/15 = 24 → r = √24 ≈ 4.9 cm.

Answer: 4.9 cm.