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3 years ago

6

Please provide an answer that's simple and concise then provide an explanation if available

1 answer:

Liono4ka [1.6K]3 years ago

3 0

Answer:

C

Step-by-step explanation:

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Two similar cones have heights of 9 cm and 4 cm. Find the ratio of their volumes

Rudik [331]

Answer:

The ratio of their volumes is: $\frac{729}{64}$

Step-by-step explanation:

If the cones are similar, then the ratio of their heights should equal the ratio of their radiuses. If we call R the radius of the larger cone (the one of height 9 cm) and r the radius of the smaller cone (the one of height 4 cm), then the following proportion should be verified:

$\frac{R}{r} =\frac{9}{4} \\R=\frac{9\,r}{4}$

where we have solved for "R" in terms of "r".

Now we input this information in the formula for the volume (V) of the largest cone, and for the volume (v) of the smaller cone, recalling that the volume of a cone is the product of the area of the cone's circular base ( $\pi *\,radius^2$ ).

$v=\frac{\pi\,r^2\,4\,}{3} =\pi r^2\,\frac{4}{3} \\V=\frac{\pi\,R^2\,9}{3}=\frac{\pi\,(\frac{9\,r}{4} )^2\,9}{3}=\frac{\pi\,r^2\,729}{16*3}=\pi r^2\,\frac{243}{16}$

So now the ratio of their volumes (V/v) can be obtained:

$\frac{V}{v} =\frac{\frac{243}{16}}{\frac{4}{3}} =\frac{729}{64}$

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3 years ago

What geometric term has only one endpoint?

Solnce55 [7]

Answer:

Rays only have one endpoint

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3 years ago

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Give me example of everyday 90 degree angle

attashe74 [19]

In the room where you're sitting right now, the angle on the floor

where the bottoms of two walls come together is 90 degrees.

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3 years ago

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Is there more wood in a 60-foot-high tree trunk with a radius of 2.2 feet or in a 50-foot-high tree trunk with a radius of 2.6

Sladkaya [172]

Answer:

V₂=1061.85 ft³

Step-by-step explanation:

To determine where more wood is found, just find the volume of each log and see which one has the largest volume

knowing that the volume of a straight cylinder is

V=πR²h, where R=radius and h=height

$V_{1}=\pi (2.2)^{2}60= 912.31ft^{3}\\V_{2}=\pi (2.6)^{2}50= 1061.85ft^{3}$

As we can observe

V₂>V₁

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solong [7]

It is B because I had the question before in my school

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3 years ago