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A cone has a volume of 486 cubic centimeters.
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What is the volume of a cylinder that has the same radius and height as the cone?
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The volume of a cone can be calculated using the formula one-third multiplied by ππ squared β.
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The volume of a cylinder can be calculated by using the formula ππ squared β.
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In this question, weβre told that the volume of the cone is 486 cubic centimeters.
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This means that one-third multiplied by ππ squared β equals 486.
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Multiplying both sides of this equation by three gives us ππ squared β is equal to 486 multiplied by three.
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486 multiplied by three is equal to 1458.
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As ππ squared β is the formula for the volume of a cylinder, we can say that, in this case, the volume of the cylinder is 1458.
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This means that a cylinder with the same radius and height as a cone of volume 486 cubic centimeters will have a volume of 1458 cubic centimeters.
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We can go one step further when comparing cones and cylinders with the same radius and height.
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The volume of the cylinder will always be three times the volume of the cone.