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3 years ago

A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as the cylinder.

Mathematics

1 answer:

ratelena [41]3 years ago

3 0

The formula of a volume of a cylinder:

$V_{cylinder}=\pi r^2H$

The formula of a volume of a cone:

$V_{cone}=\dfrac{1}{3}\pi r^2H$

If a cone and a cylinder have the same radius and the same height, then a volume of a cylinder is three times greater than a volume of a cone.

$V_{cylinder}=3V_{cone}\\\\V_{cone}=\dfrac{1}{3}V_{cylinder}$

$V_{cylinder}=360\ cm^3$

$V_{cone}=\dfrac{1}{3}\cdot360\ cm^3=120\ cm^3$

<h3>Answer: The volume of a cone is equal 120 cm³.</h3>

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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3 years ago

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3 years ago

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