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Olegator [25]
3 years ago
13

Find the volume of each cone.​

Mathematics
1 answer:
umka2103 [35]3 years ago
3 0

Answer: 6 cm, V=48π or V=150.8 cm³

It appears the question is asking for the radius, but below I have shown how to find the volume.

Step-by-step explanation:

The radius is half of the diameter. The diameter of the cone of 12 cm. Half of 12 is 6. Therefore, the radius is 6 cm.

The formula to find the volume of a cone is V=\pi r^2\frac{h}{3}. Now that we have the radius from above, we can use that to plug into the equation along with the given height.

V=\pi (6^2)\frac{4}{3}                    [expand the exponent]

V=36\pi \frac{4}{3}                       [combine like terms]

V=48\pi or V=150.8 cm^3            

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The cylinders are similar. The volume of the larger cylinder is 9648 cubic inches. What is the volume of the smaller cylinder?
zalisa [80]
Hey there :)

The volume formula of a cylinder is:
V = \pir²h

The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first

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\frac{9648}{18} = \pir²
536 = \pir²
\frac{536}{ \pi} = r²
\sqrt{ \frac{536}{ \pi } } = r
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The ratio of the big cylinder to small cylinder is:
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So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger

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V (of small cylinder) = \pi(6.53)²(9)
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3 years ago
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