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4 years ago

8

What is the greatest common factor of 36 and 27

1 answer:

Aloiza [94]4 years ago

4 0

Answer:

9

Step-by-step explanation:

When the numbers are relatively close together, it is often useful to see if their difference is a factor:

36 -27 = 9

Checking ...

36 = 4×9

27 = 3×9

9 is the greatest common factor of 27 and 36.

_____

<em>How to find the greatest common factor (GCF)</em>

The Euclidean algorithm has you find the remainder from division of the larger by the smaller. If that remainder is zero, the smaller is the GCF. If the remainder is nonzero, it replaces the larger number and the process is repeated. When the larger number is less than twice the smaller, the remainder is their difference.

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The volume of a cylinder is 300 feet3. Find the volume of a cone and a sphere that have the same height and radius as the cylind

nikitadnepr [17]

The formula of a volume of a cylinder:

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

The formula of a volume of a cone:

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

Therefore, if a cone has the same radius and height like a cylinder, then the volume of a cone is three times smaller than the volume of a cylinder.

Therefore we have:

$V_{cone}=\dfrac{1}{3}V_{cylinder}\to V_{cone}=\dfrac{1}{3}(300)=100\ ft^3$

The formula of a volume of a sphere:

$V_{sphere}=\dfrac{4}{3}\pi R^3$

If a cone has that same lengths of a radius and a height, then the formula of a volume is:

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

If a cone and a sphere have the same radius, then the volume of a sphere is four times greater than a volume of a cone.

Therefore we have:

$V_{sphere}=4(100)=400\ ft^3$

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Step-by-step explanation:

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