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GaryK [48]
3 years ago
5

A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Show a

ll work
Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

Answer:

24 cubic inches

Step-by-step explanation:

The formulas for the volume of a cylinder and cone are ...

volume of a cylinder = πr^2·h

volume of a cone = (1/3)πr^2·h

For the same radius and height, the cone has 1/3 the volume of the cylinder. Your cone's volume is ...

(1/3)·(72 cubic inches) = 24 cubic inches

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Sveta_85 [38]

Answer:

72 cm

Step-by-step explanation:

You can solve this problem using the properties of the 45-45-90 right triangle. Assuming the 12 cm is a diagonal of the square, each side of the square can be modeled as x, and the diagonal will be x\sqrt{2}.

This means x\sqrt{2} =12, so  x=\frac{12}{\sqrt{2} }.

Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and x=\frac{12}{\sqrt{2} } , you can square \frac{12}{\sqrt{2} } to get the area. This is equal to \frac{144}{2} or 72 cm.

8 0
2 years ago
In the equation sqrt n+5 - sqrt n-10, what is the value of n?
irinina [24]
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3 years ago
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Svetllana [295]
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3 0
3 years ago
Please help solve the inequality.
gulaghasi [49]

Answer:

Are there two you're asking for?

#2: x ≥ 9

#3: x > -2

Step-by-step explanation:

#2 Work:

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x - 13 + 13 ≥ -4 + 13

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Answer:

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<h3><em>Plz </em><em>mrk</em><em> me</em><em> brainliest</em><em>.</em></h3>
3 0
3 years ago
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