Question

1.What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm?

Use 3.14 to approximate pi, and express your final answer to the nearest hundredth.

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2.The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft.

What is the volume of the statue?

Use 3.14 to approximate pi, and express your final answer as a decimal.

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3.A cone-shaped container has a height of 240 in. and a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in³ per week.

How many weeks will it take for all of the chemical to evaporate?

Use 3.14 to approximate pi.

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Answer 1

1 ) V = 1/3 * 18² * 3.14 * 6 = 2,034.72 mm³
2 ) V = 1/3 * 6² * 3.14 * 9 = 339.12 in³
3 ) V = 1/3 * 150² * 3.14 * 240 = 5,652,000 in³
5,652,000 : 12,000 = 471 weeks